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Paper Citation Record · LEDGER

Thermodynamics and Legendre Duality in Optimal Networks

As of 18 August 2026, this Paper Citation Record lists 80 of 80 outbound references and 0 inbound Pith citation observations for arXiv:2506.15727.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.15727 v1

Coverage vector

measured 80 of 80 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:33:21.307241Z

measured 80 of 80 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

80 of 80 outbound references displayed

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  • unresolved28
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a065bdeb-a4cb-42e5-a077-23870794e641 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 1

Resolution
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Observation 66e714a7-4c9d-49b1-b0a0-329161b843af · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 2

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2441017f-bb57-4ace-a239-814b219070fc · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 3

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ddfbf355-55c3-4eef-a2b5-ea234c37319c · outbound

This paper cites Rodriguez-Iturbe, A.

Thermodynamics and Legendre Duality in Optimal Networks Rodriguez-Iturbe, A

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f185aea9-b652-4813-8816-d45dfaab8b1d · outbound

This paper cites Santambrogio, Optimal transport for applied mathematicians, Birk¨ auser, NY 55 (58-63) (2015) 94.

Thermodynamics and Legendre Duality in Optimal Networks Santambrogio, Optimal transport for applied mathematicians, Birk¨ auser, NY 55 (58-63) (2015) 94

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 871c065b-6baa-430c-b3ae-c3072f4bc94b · outbound

This paper cites Van Baak, Variational alternatives to kirchhoff’s loop theorem in dc circuits, American Journal of Physics 67 (1) (1999) 36–44.

Thermodynamics and Legendre Duality in Optimal Networks Van Baak, Variational alternatives to kirchhoff’s loop theorem in dc circuits, American Journal of Physics 67 (1) (1999) 36–44

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation e2d67628-56a3-4d73-8a53-15d61916df8c · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 07941dc3-f4a7-49da-910a-176a34d88b5b · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 8

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation cc9e931d-dd99-4379-85ec-07371df9640f · outbound

This paper cites Barbera, On the principle of minimal entropy production for navier-stokes-fourier fluids, Continuum Mechanics and Thermodynamics 11 (5) (1999) 327–330.

Thermodynamics and Legendre Duality in Optimal Networks Barbera, On the principle of minimal entropy production for navier-stokes-fourier fluids, Continuum Mechanics and Thermodynamics 11 (5) (1999) 327–330

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 96a13060-834e-4998-a5a0-afa7543327e3 · outbound

This paper cites Kondepudi, I.

Thermodynamics and Legendre Duality in Optimal Networks Kondepudi, I

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8a6e7795-190b-4059-b45b-6f5e4a08f339 · outbound

This paper cites Martyushev, A.

Thermodynamics and Legendre Duality in Optimal Networks Martyushev, A

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 4856ca3f-f057-422e-8505-6312cde9e12e · outbound

This paper cites Millar, Cxvi.

Thermodynamics and Legendre Duality in Optimal Networks Millar, Cxvi

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f169b4f6-f3e6-4c86-b9b3-d3521fa351bd · outbound

This paper cites Cherry, Non-linear circuit theory by the methods of classical dynamics, in: Recent Developments in Network Theory, Elsevier, 1963, pp.

Thermodynamics and Legendre Duality in Optimal Networks Cherry, Non-linear circuit theory by the methods of classical dynamics, in: Recent Developments in Network Theory, Elsevier, 1963, pp

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6dcb97e7-6e10-4e72-ad49-22e328c03e74 · outbound

This paper cites Verh´ as, Gyarmati’s variational principle of dissipative processes, Entropy 16 (4) (2014) 2362–2383.

Thermodynamics and Legendre Duality in Optimal Networks Verh´ as, Gyarmati’s variational principle of dissipative processes, Entropy 16 (4) (2014) 2362–2383

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 98ee0a3b-686c-4cfc-9845-d8e1780c45e7 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation fa2828a4-92a0-4eac-ae42-492af6e3e2a0 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 16

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 37106f81-5467-4fc3-89ff-666da53c3f64 · outbound

This paper cites Bejan, S.

Thermodynamics and Legendre Duality in Optimal Networks Bejan, S

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0d5c1ce7-94ec-498f-98e8-3386b5713e80 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9e33c85d-b658-4372-9e29-212cb42c6ba9 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation af34757c-bef0-4203-8e21-81491eaf5ba0 · outbound

This paper cites Rinaldo, R.

Thermodynamics and Legendre Duality in Optimal Networks Rinaldo, R

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 57a38811-0b57-4f5b-a6dd-d50992981e4d · outbound

This paper cites Bandle, Dido’s problem and its impact on modern mathematics, Notices of the AMS 64 (9).

Thermodynamics and Legendre Duality in Optimal Networks Bandle, Dido’s problem and its impact on modern mathematics, Notices of the AMS 64 (9)

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 98efe4aa-1045-4b98-91d5-fd484cf7b39a · outbound

This paper cites Hooshyar, S.

Thermodynamics and Legendre Duality in Optimal Networks Hooshyar, S

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 269f0bb4-7408-460c-95bb-de1b34335bf5 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 23

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 49cff04c-5d14-4839-b166-8319817d2265 · outbound

This paper cites Facca, F.

Thermodynamics and Legendre Duality in Optimal Networks Facca, F

Reference 24

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation fc119b5e-981d-4eb0-9510-2bde90366e80 · outbound

This paper cites Mrugala, J.

Thermodynamics and Legendre Duality in Optimal Networks Mrugala, J

Reference 25

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8517ec12-a603-4b54-8887-88187dbe596f · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 26

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 806a7299-caef-4a65-a90f-52c723fc93b3 · outbound

This paper cites Schnakenberg, Network theory of microscopic and macroscopic behavior of master equation systems, Reviews of Modern physics 48 (4) (1976) 571.

Thermodynamics and Legendre Duality in Optimal Networks Schnakenberg, Network theory of microscopic and macroscopic behavior of master equation systems, Reviews of Modern physics 48 (4) (1976) 571

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation a72f3a37-5a94-4a64-9003-eb7bdad4149d · outbound

This paper cites Oster, C.

Thermodynamics and Legendre Duality in Optimal Networks Oster, C

Reference 28

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f3084f35-4a8f-4c52-a0e1-e97adb0823d5 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 29

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 08d11f20-9f43-4da1-ad9c-763c12919750 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:28.706338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 48cad465-364e-42a5-bd8f-52e3049dd0ad · outbound

This paper cites Onsager, S.

Thermodynamics and Legendre Duality in Optimal Networks Onsager, S

Reference 31

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3ceafdb9-7fc5-42e0-abc3-61ed0ebf4862 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:28.297224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 64b60d3a-6a2b-459e-8650-241000e97c65 · outbound

This paper cites Doi, Onsager’s variational principle in soft matter, Journal of Physics: Condensed Matter 23 (28) (2011) 284118.

Thermodynamics and Legendre Duality in Optimal Networks Doi, Onsager’s variational principle in soft matter, Journal of Physics: Condensed Matter 23 (28) (2011) 284118

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:28.121574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b0228743-28d2-4a5c-ac04-e844e9eb46df · outbound

This paper cites Bataille, D.

Thermodynamics and Legendre Duality in Optimal Networks Bataille, D

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:27.931097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b96c3a07-64ff-4cbd-95d2-1651b8c8f74e · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:27.723856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.099469Z digest=sha256:71a5c08313f69a8184720b2ba4089f32c12ef9f17376dec257bbf1f7b04a24c6

Observation 5a0f92d8-7522-4992-a3a4-290b03c4520d · outbound

This paper cites Sewell, Complementary energy and catastrophes, in: Variational Methods in the Mechanics of Solids, Elsevier, 1980, pp.

Thermodynamics and Legendre Duality in Optimal Networks Sewell, Complementary energy and catastrophes, in: Variational Methods in the Mechanics of Solids, Elsevier, 1980, pp

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:27.509220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.103871Z digest=sha256:0535028c9ec3e23624900570fac4187839803a41a427a835cc0487ca7168f712

Observation c4bbc2ef-27f9-456d-a683-910328fc2600 · outbound

This paper cites Gyarmati, et al., Non-equilibrium thermodynamics, Vol.

Thermodynamics and Legendre Duality in Optimal Networks Gyarmati, et al., Non-equilibrium thermodynamics, Vol

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:27.301920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.108691Z digest=sha256:e41afed7a83d7f8faaa642a599c5a65e9b2d8f2ac02e342ea40cb7ad0eea8e37

Observation 0e017a57-89bd-469d-9aee-15b8344475fc · outbound

This paper cites Biolek, D.

Thermodynamics and Legendre Duality in Optimal Networks Biolek, D

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:27.082729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.113035Z digest=sha256:d0c045baa52ce4c492ff9c81557ca5649d213746fd6c3eb8035585072a37fe6c

Observation e4078341-e11c-4077-82b9-82fff929b02a · outbound

This paper cites Ziegler, An introduction to thermomechanics, Elsevier, 2012.

Thermodynamics and Legendre Duality in Optimal Networks Ziegler, An introduction to thermomechanics, Elsevier, 2012

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:26.900967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.117427Z digest=sha256:ba4a41927944e7df76880572395145aa136aad4cf3388eccad6056e59c0336b5

Observation 7c85d655-e8a5-403b-9cc3-c2ca9a73fa29 · outbound

This paper cites Gallavotti, Statistical mechanics: A short treatise, Springer Science & Business Media, 2013.

Thermodynamics and Legendre Duality in Optimal Networks Gallavotti, Statistical mechanics: A short treatise, Springer Science & Business Media, 2013

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:26.708417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.121810Z digest=sha256:a0458a8ac418d2f24840323e17e68432667f026f76875b3b4acb6469ba03b7a9

Observation 430b49dc-171b-4840-b91a-6054721dc72e · outbound

This paper cites ˇZupanovi´ c, D.

Thermodynamics and Legendre Duality in Optimal Networks ˇZupanovi´ c, D

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:26.459542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.126049Z digest=sha256:82c4c7c02e18523ccb433ff153bbf534feb5d81ae96465a36376a7464db2bb60

Observation 56e76cdd-8d5e-4091-8f5d-234b5bb3b954 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:26.204696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.130308Z digest=sha256:dab3b65ac48a258c0d5dd3b1492e2d39a6b95e044c5d6007f3ae81f7f285b6e1

Observation 8a14c1b8-a2f9-4fca-acdd-1b21703d49fd · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:25.979268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.135222Z digest=sha256:2bc30a954dc9ae645c92043a2cc5237f3d984e6441fdf742c216f00320ba67cb

Observation fd6e830b-285a-4d15-88eb-7de1eef2b467 · outbound

This paper cites Porporato, S.

Thermodynamics and Legendre Duality in Optimal Networks Porporato, S

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:25.781269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.140079Z digest=sha256:907842c181007d91a665e81c96a402f24dedfb8ef85dca910876c0c03d51c2e3

Observation 30299500-509f-4caf-aa22-91ce3512e3bc · outbound

This paper cites Schl¨ ogl, Thermodynamic metric and stochastic measures, Zeitschrift f¨ ur Physik B Condensed Matter 59 (4) (1985) 449–454.

Thermodynamics and Legendre Duality in Optimal Networks Schl¨ ogl, Thermodynamic metric and stochastic measures, Zeitschrift f¨ ur Physik B Condensed Matter 59 (4) (1985) 449–454

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:25.588584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.144813Z digest=sha256:69a86f946dee9e8a5ed7a12ccb7654a2d5771be113a65c6c858f22cf43993e83

Observation b06a446c-fdd5-42b1-add3-1895bbe63e6a · outbound

This paper cites Mrugala, J.

Thermodynamics and Legendre Duality in Optimal Networks Mrugala, J

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:25.336653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.149261Z digest=sha256:cb7e296f65b13c3c0623ca6b2ef96ed4b8fd4df9713ddbe6672cae8e3f8eeb11

Observation 092520c9-0ca6-4cce-a728-1f0a214821cb · outbound

This paper cites Brody, N.

Thermodynamics and Legendre Duality in Optimal Networks Brody, N

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:25.110479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.154078Z digest=sha256:434ec79cb6f8f926bde0708deee316ea63516c330cce77bf367fcb4a782c26b1

Observation 7590a5c9-3d7c-44d2-ba8d-8947d98b2944 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:24.879402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.158804Z digest=sha256:83d543d9b9e9028dc4c04c1d5760091501be2f0e831b54a88ce510c8dcb7145e

Observation b9074e50-eb92-4f5b-9f5c-32c0ac788904 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:24.760150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.163390Z digest=sha256:ed9e6766ee0bce823a1741499faa76c62d71164cb2e8bd6bf6126ac319a112cc

Observation 22e66c23-6678-4062-a0e8-4b8725b11eb3 · outbound

This paper cites Ercan, On kirchhoff’s equations and variational approaches to electrical network analysis, American Journal of Physics 84 (3) (2016) 231–233.

Thermodynamics and Legendre Duality in Optimal Networks Ercan, On kirchhoff’s equations and variational approaches to electrical network analysis, American Journal of Physics 84 (3) (2016) 231–233

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:24.592563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.167842Z digest=sha256:3d318b8d7d147207d0684db909214343b65b5c929ffb09318149850c4585ef4d

Observation 75d696d1-abe1-420d-b1bb-3b4fb409ee1b · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:24.417598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.172481Z digest=sha256:f1045bfae74492e5b8cb5108b5e8cb1fc8a2d149870780b1dcb63f43363d070d

Observation 5350e943-4ae1-4917-bc0d-e9f0dbec3098 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:24.254134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.176876Z digest=sha256:102451765d7c57bc7f74c77919e8bd1900d562552a4de8ff131fca1a1e435dc7

Observation e90ecb08-25e2-44fd-9d1c-ef98f5c51b27 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:24.054150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.181606Z digest=sha256:c57bb5a0d44524f44d0d47be364aa427a5e617c6b288917faeace590d6fb1bd1

Observation 9d4b41be-2d01-4f95-81a8-ffb2c56b3b7f · outbound

This paper cites Kawazura, Z.

Thermodynamics and Legendre Duality in Optimal Networks Kawazura, Z

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:23.892350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.185987Z digest=sha256:3e236bfb3090a9eac8391dea3d1955d0d774196926b6e9511315cef4a950b451

Observation 0d25b65e-077f-4e0e-a033-6828adb2e852 · outbound

This paper cites Martyushev, Some interesting consequences of the maximum entropy production principle, Journal of Experimental and Theoretical Physics 104 (2007) 651–654.

Thermodynamics and Legendre Duality in Optimal Networks Martyushev, Some interesting consequences of the maximum entropy production principle, Journal of Experimental and Theoretical Physics 104 (2007) 651–654

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:23.642601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.190487Z digest=sha256:72d8ef443fef5715b644b2d6a61b6ecbb877cefe07818e5e599c2b65fac6bd91

Observation 4f8a2d9a-fbfd-4b77-a843-c3631bb48c72 · outbound

This paper cites Hill, Entropy production as the selection rule between different growth morphologies, Nature 348 (1990) 426–428.

Thermodynamics and Legendre Duality in Optimal Networks Hill, Entropy production as the selection rule between different growth morphologies, Nature 348 (1990) 426–428

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:23.358734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.195131Z digest=sha256:380b629236586bb4056413756feb760885f526e627479657ae6b91339c119e9d

Observation e76c3b84-6bb4-4186-8ce8-4c93ff9cc540 · outbound

This paper cites Ozawa, S.

Thermodynamics and Legendre Duality in Optimal Networks Ozawa, S

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:23.142761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.199386Z digest=sha256:c16deeef0ed79b12a51cc4166cc58733413123ccb1531074e6b0ec7e948169e9

Observation 194763ac-27ff-4c24-ac0d-04e81a939ec3 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:22.918614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.204078Z digest=sha256:5d774c861953776a9d4167c0a25b97b23f63c1efe729373882adf591a86a247f

Observation 0b04e7e7-d5ea-48fb-a05e-e839e3a6067f · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 59

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:22.758594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.208743Z digest=sha256:a168bb7776f3731d3844e364be3181796dd04abec2d6ffb33747bbdc5778f959

Observation d0d156cc-d1eb-4519-9fc4-c98fca579516 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:22.553892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.213392Z digest=sha256:d4cbbf588e722eb75274e937784c785921b957fc9ccf7b81c3931557953b551f

Observation e19a255b-ab4e-40c6-86d0-92f34b4dd316 · outbound

This paper cites Yoshida, S.

Thermodynamics and Legendre Duality in Optimal Networks Yoshida, S

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:22.392772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.218367Z digest=sha256:b59ca9fffd6d5c6aede2d5aac406f337f0c0416b6976f3b2ea504011d1dbab49

Observation f8fa01c8-198a-4c3b-9c02-e6b19737102f · outbound

This paper cites Yoshida, Y.

Thermodynamics and Legendre Duality in Optimal Networks Yoshida, Y

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:22.218248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.223616Z digest=sha256:54cea214feb73b26b064d484ec844bc793d9bf0c297e554e1ed15c3eb95713f2

Observation a57dc63a-43e2-45e1-ba77-b4158bcb0ce1 · outbound

This paper cites Kawazura, Z.

Thermodynamics and Legendre Duality in Optimal Networks Kawazura, Z

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:22.105747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.228557Z digest=sha256:9fcf8249e0d0ad1eb002ca82a2f80eacb333e02e9842962d8c3b88f93fd2b8ce

Observation 1f91d8a3-f994-47b6-9fd1-7aa647d2a717 · outbound

This paper cites Glansdorff, I.

Thermodynamics and Legendre Duality in Optimal Networks Glansdorff, I

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.982485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.233777Z digest=sha256:051b7c57d58c0fa3cea48e603ea5e8b1e82df67efbd202a645105d0dc941d65e

Observation f69d556d-9383-4d1d-b98b-b097c46546a1 · outbound

This paper cites Landauer, Stability and entropy production in electrical circuits, Journal of Statistical Physics 13 (1975) 1–16.

Thermodynamics and Legendre Duality in Optimal Networks Landauer, Stability and entropy production in electrical circuits, Journal of Statistical Physics 13 (1975) 1–16

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.845645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.238383Z digest=sha256:ccc9b546cde4181122077ef1b0ce86ce702d89d59a33117659764d2832a46118

Observation 6385e238-4510-422c-800d-4474f07b6aa4 · outbound

This paper cites Bodineau, B.

Thermodynamics and Legendre Duality in Optimal Networks Bodineau, B

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.740057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.242842Z digest=sha256:e60d5e53cf721ab0eaf67def7fb1cd6e061d74a0875d4bdfdff3cd262daec642

Observation 7ec3b028-4229-4bf6-a242-db0e702724ca · outbound

This paper cites Derrida, J.

Thermodynamics and Legendre Duality in Optimal Networks Derrida, J

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.676082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.247409Z digest=sha256:b355e7cf37bdeacfc3f597b423e9a9787406deeac40d259bf433ba991b19c87b

Observation 2caff210-ba5e-4e17-b44c-6fd61ebcbb73 · outbound

This paper cites Bertini, A.

Thermodynamics and Legendre Duality in Optimal Networks Bertini, A

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.615529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.251904Z digest=sha256:40334957383ae81a118bcd5d57243d299d1943112797a080d6c1805dd6ebe429

Observation 68ec7cd6-0360-4b24-bd4a-b61eb5c71e31 · outbound

This paper cites Torquato, Optimal design of heterogeneous materials, Annual review of materials research 40 (1) (2010) 101–129.

Thermodynamics and Legendre Duality in Optimal Networks Torquato, Optimal design of heterogeneous materials, Annual review of materials research 40 (1) (2010) 101–129

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.580139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.256917Z digest=sha256:9d7cac023bc2e61cafde5e7edc54592531e2304c02da81cbdc9e69b3781bdd20

Observation 574d4ea4-09b1-42c3-92a3-257bfbf7ead4 · outbound

This paper cites Waldherr, D.

Thermodynamics and Legendre Duality in Optimal Networks Waldherr, D

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.557838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.261139Z digest=sha256:5a2b49a0dc798d9b9e14ceaec0d09dcb0d8129e7c560272690bdf1fb959c4cd0

Observation 988a15a6-96e3-499b-bb44-50210b31ccff · outbound

This paper cites Franklin, S.

Thermodynamics and Legendre Duality in Optimal Networks Franklin, S

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.533585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.265258Z digest=sha256:5386eb87ca417485ff5d556eaa8f581a11616d58389ea39d78fbe6c222488992

Observation 973005cd-66be-4c31-95b3-7cac2cbfbf12 · outbound

This paper cites Calabrese, B.

Thermodynamics and Legendre Duality in Optimal Networks Calabrese, B

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.507547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.269652Z digest=sha256:13733713307c433750c2b15044b680d2578086429082bb765506e83371bcee68

Observation 26caf9fe-689f-475d-936f-54dff3aff9ce · outbound

This paper cites Witelski, M.

Thermodynamics and Legendre Duality in Optimal Networks Witelski, M

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.481941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.274297Z digest=sha256:c419e6396f148ad3945ce8560bdf47aa5ac4a6019161562d7954baf1a794e09b

Observation 7550b0c6-3660-47ab-93da-84cb728d5346 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:21.460848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.278618Z digest=sha256:4faef0953ed8eaa89646712c79de59228a5884d2d500b638d8e60c64a4fdb93e

Observation f366eb38-1e2a-4965-9342-6de5ed467b35 · outbound

This paper cites Giaccone, S.

Thermodynamics and Legendre Duality in Optimal Networks Giaccone, S

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.435638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.283029Z digest=sha256:f07e0d0d862e3f7d485b2ce06714cb4b06b91b3afc1ee99765f3120f942f0087

Observation 73b80792-d2a1-48af-b70f-70e962a15f23 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:21.414149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.287674Z digest=sha256:e0243f0957d43e3148ee7c97c860f882800192c69c2237ada93d1259c640dacd

Observation 25bc5904-daa7-42ff-b4be-50250aa95aa1 · outbound

This paper cites Burger, J.

Thermodynamics and Legendre Duality in Optimal Networks Burger, J

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.394832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.292634Z digest=sha256:595daafc97c3102b08b393be5de05cefc331198e3ea21c5a9894c6f2d7cf5b25

Observation 68c65f00-4840-460c-9726-0e8fb01527f6 · outbound

This paper cites an unresolved cited work.

Thermodynamics and Legendre Duality in Optimal Networks Unresolved cited work

Reference 78

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:33:21.379227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.297764Z digest=sha256:6570df7d95825d805d1c4d13a2b024f2b9bb48fb5f7e6d883cfb146aa7a375f3

Observation 9f4750d6-7403-4824-b1f2-fa4163915783 · outbound

This paper cites Bonetti, M.

Thermodynamics and Legendre Duality in Optimal Networks Bonetti, M

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.362961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.302767Z digest=sha256:a33f5f9ee8da508cd4af9e98b0e0f79fed6366b8bc7e52cc0fd1ab5e065f622d

Observation 104fbc02-6dab-41a2-b8ca-e95f914c2665 · outbound

This paper cites Maritan, F.

Thermodynamics and Legendre Duality in Optimal Networks Maritan, F

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:33:21.346917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-07T05:33:21.307241Z digest=sha256:be6a10432943ba92a812713d27e1096d242254e390bfd2d200ccf7f6d3a57224

Pith citing papers

No inbound Pith citation observations are available.