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Paper Citation Record · LEDGER

The principle of least action for random graphs

As of 9 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2507.01468.

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

pith.paper-citation-record.v1
2507.01468 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:56:22.025295Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T19:33:26.477847Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T22:50:48.610561Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 435131a6-5504-42d9-aafe-6541b26e5dc6 · outbound

This paper cites Kleftogiannis and I.

The principle of least action for random graphs Kleftogiannis and I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.418415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.523486Z digest=sha256:c64060af53870b103b3accd050e48cd3e068e52401f01fbafd513f59ac3f4eb7

Observation 4ec27a24-23a5-4870-9592-85b62b25a38e · outbound

This paper cites Emergent spacetime from purely random structures.

The principle of least action for random graphs Emergent spacetime from purely random structures

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.592476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.592476Z digest=sha256:c6ccddb86547f64d4c5f551169690a8856112c884bfd4030594323dbf0e213a0

Observation e7786e91-b5cf-498a-b4a6-847066aa7e0d · outbound

This paper cites Quantum Grav.

The principle of least action for random graphs Quantum Grav

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.403050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.728833Z digest=sha256:c9f5af01ac1702c9a82a5cc80651d89301314f4c724a9f1509451ebe3e5022d4

Observation 9e0edf06-ace1-44fd-ad72-2a4180d72bd9 · outbound

This paper cites Rovelli, Living Rev.

The principle of least action for random graphs Rovelli, Living Rev

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.388243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.901835Z digest=sha256:bf0cc6d9f7ea0166cf14705148232e32c65fe5eec71f58b1c7c1d3a8ca2a1d8e

Observation 58f7fd95-fd99-4311-b497-9dde2d46329c · outbound

This paper cites Bombelli, J.

The principle of least action for random graphs Bombelli, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.372244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.926165Z digest=sha256:9d72c1073812c23ca0616bf288eb69887fe1c056fa36575a21aaa28cd2647d3f

Observation c83d3477-f038-4cf4-9c35-af8f23a26f10 · outbound

This paper cites Dowker, Annals of the New York Academy of Sciences1326, 18-25, (2014).

The principle of least action for random graphs Dowker, Annals of the New York Academy of Sciences1326, 18-25, (2014)

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.931030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.931030Z digest=sha256:01f07811e27885aef56344f653264674eeee87273174b8654d63c394e8c1ff02

Observation 2ddc9789-baec-46c6-a415-58595efbf562 · outbound

This paper cites Dowker and S.

The principle of least action for random graphs Dowker and S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.342850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.937047Z digest=sha256:0f16ca6d61433f26cc22562f959cca1c1582e456b3e9f2cba8a835cdb2f75036

Observation d9630a95-8be4-40a7-9719-224f7a78bbd6 · outbound

This paper cites The causal set approach to quantum gravity.

The principle of least action for random graphs The causal set approach to quantum gravity

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.941976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.941976Z digest=sha256:100fe3d7b623767b0c16d87bcaa85b88b68a7239490d4ce1b0cde67cf38d5cbe

Observation e255842c-0bbf-4ccb-9a47-e14724b47c1d · outbound

This paper cites Wolfram, Complex Systems 29, (2) pp.

The principle of least action for random graphs Wolfram, Complex Systems 29, (2) pp

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.326994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.946849Z digest=sha256:04e5a610e67fbec5a5df6c4d430d7d95c4d612ad071b366cf850365429f232c1

Observation 08a04461-ca4f-40f6-bdbb-6bc885f4aff8 · outbound

This paper cites Gorard, Complex Systems, 29, (2) pp.

The principle of least action for random graphs Gorard, Complex Systems, 29, (2) pp

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.311468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.951774Z digest=sha256:09c44e9833ce0be5c89e1ffd1e5338ba53a0b02221cef6011b18f72556dc219e

Observation a6ba4436-22c5-4a97-8a38-da5e7548d85c · outbound

This paper cites Konopka, F.

The principle of least action for random graphs Konopka, F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.297374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.956158Z digest=sha256:b4757d5a6360cfe583150dfb3301f2ff0171277d19f7ca38fc3ae4449e3e3f7a

Observation 7a67e5fb-7480-4df3-8390-831c6c3ff420 · outbound

This paper cites Trugenberger, J.

The principle of least action for random graphs Trugenberger, J

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.960867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.960867Z digest=sha256:e67302c903caf2fc73e844a98b2d4613e56173615c21b8c7819c5c7eeee06b6c

Observation 1b43d4ed-3394-4918-a5fb-65fda7d70e95 · outbound

This paper cites Kelly, C.

The principle of least action for random graphs Kelly, C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.272828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.965539Z digest=sha256:251810332e0f8454a3d65caec1e34675c40611180d581537223a04186ecd2ab8

Observation e9e7214a-fed6-4a1a-a6fd-efcf41d36dfa · outbound

This paper cites Erd ˝os, T.

The principle of least action for random graphs Erd ˝os, T

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.257381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.971012Z digest=sha256:8997654fe6cb91c443dba2435a3ba7a1ad37eab0851d91276e975b0ad8282a23

Observation 9da8c389-0384-4716-b358-8e3c8e2a8a49 · outbound

This paper cites Aigner, E.

The principle of least action for random graphs Aigner, E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.241890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.975670Z digest=sha256:e7e5bb57188adbff3069a623f92bf05cd401f174b711d9d5c6e41f03c1fb56e5

Observation 9b77116f-58a0-4028-aa9b-a90fc13faa3e · outbound

This paper cites an unresolved cited work.

The principle of least action for random graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:56:22.227035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.980612Z digest=sha256:93c60e4b6cf3f3cf31ea7bbd5adcfc6eab7bce3cd30f79785baac6531ed880e7

Observation c8ca1171-68a9-45a1-b132-57aa231b7855 · outbound

This paper cites an unresolved cited work.

The principle of least action for random graphs Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.985852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.985852Z digest=sha256:066afd465bf6324dcc041e85003790b2eca854fd72e411940fa8017b5b6de8bd

Observation 66d914b4-ebd4-465e-874c-6dfe28e347e4 · outbound

This paper cites Frieze, M.

The principle of least action for random graphs Frieze, M

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.990236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.990236Z digest=sha256:c3af4cde8a6632fcf24f9e1c68549a6f62754d379f20564ae58f2547c4e60f4b

Observation 5cffe748-7f46-4353-8660-70f54e28fc85 · outbound

This paper cites Berg and M.

The principle of least action for random graphs Berg and M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.192342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:21.995130Z digest=sha256:212404b152059cd8df95d6452c9899ef7c5d968baa1927978f9810abae11b121

Observation 73bb770e-1c9d-4804-a7d5-cf22766fb0e2 · outbound

This paper cites Mizutaka and T.

The principle of least action for random graphs Mizutaka and T

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.999379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.999379Z digest=sha256:006771462b6943de809d83541602d68bbdc12551d8f8f3118c7ac3d4cbea36b0

Observation 21f112f1-acca-4440-acf4-08b5139d8668 · outbound

This paper cites Dirac, Physikalische Zeitschrift der Sowjetunion, 5 Band,3, Heft 1 (1933).

The principle of least action for random graphs Dirac, Physikalische Zeitschrift der Sowjetunion, 5 Band,3, Heft 1 (1933)

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.164361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:22.004663Z digest=sha256:1d690a62a7f0640802a311348e8fde74090b3edb550f487c5aa8f057d9be8949

Observation 7c51b9a9-7a9b-4d27-aab5-701bccbd37df · outbound

This paper cites an unresolved cited work.

The principle of least action for random graphs Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:56:22.148149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 8df345ef-68a4-44e0-af34-bb3df0972bc4 · outbound

This paper cites an unresolved cited work.

The principle of least action for random graphs Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:56:22.132322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 0513dc31-f25f-49fe-a1ea-65ab1d4a4ad9 · outbound

This paper cites an unresolved cited work.

The principle of least action for random graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:56:22.116399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:22.019700Z digest=sha256:213f5b74bd5bc88e4074bcc4b5b52b3dda8a1bd48d8111834bd2f8ac543591ed

Observation 4dfb4c1f-a154-4738-b16b-9a350e051132 · outbound

This paper cites Schwinger, Quantum Kinematics and Dynamics (1st edition: Benjamin, 1970; 2nd edition: Addison-Wesley, 1991; 3rd edi- tion: Perseus Books Group, 2000).

The principle of least action for random graphs Schwinger, Quantum Kinematics and Dynamics (1st edition: Benjamin, 1970; 2nd edition: Addison-Wesley, 1991; 3rd edi- tion: Perseus Books Group, 2000)

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.101118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T20:56:22.025295Z digest=sha256:ac6f3bc1859282d2daa8f12090334971ab3dc8f844031bf172c89fabfb6037be

Pith citing papers

Observation b527872a-f8b3-4ca6-9b9b-ecb15a5f5839 · inbound

Mass generation in graphs cites this paper.

Mass generation in graphs The principle of least action for random graphs

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-10T22:50:48.612326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T19:33:26.477847Z digest=sha256:86e6317a5b9b938e6560ed8b2e410f9783b126010361a4ef1d44a6162b0474ab