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Paper Citation Record · LEDGER

Fracture of disordered and stochastic lattice materials

As of 10 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 2 inbound Pith citation observations for arXiv:2508.21187.

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

pith.paper-citation-record.v1
2508.21187 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:39:47.672445Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:53:07.840113Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

  • verified exact0
  • verified fuzzy30
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87c04554-b9e8-4917-9701-783385603483 · outbound

This paper cites Tertuliano, J.

Fracture of disordered and stochastic lattice materials Tertuliano, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.478052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:43.085348Z digest=sha256:49a706b742211cb4e96b4f9afeb552d6f2b7e798d6a0f023488da6cb4a99dbf5

Observation 4f005d29-88e1-44b1-bc19-9469064bd2bb · outbound

This paper cites an unresolved cited work.

Fracture of disordered and stochastic lattice materials Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:39:48.459500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:43.205095Z digest=sha256:b4354907d208f887300ae9d43933fc2fe6a6b651fe8c862c7f5feb0dab417889

Observation 358cbd88-cc67-4d92-b1c6-c0e457f22e1c · outbound

This paper cites Garyfallogiannis, R.

Fracture of disordered and stochastic lattice materials Garyfallogiannis, R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.441906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:43.373703Z digest=sha256:ec914f4d6ab379052ffc3063b833f30b76c9e3a7a44d10c2e1a9c2fa6d4e29f5

Observation 7465d0a0-9d59-4dd0-99c7-f62834d352aa · outbound

This paper cites Purohit, J.

Fracture of disordered and stochastic lattice materials Purohit, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.416560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:43.532351Z digest=sha256:e6c61b3984c9406f98fd654505f8c6fd909f6f96ba3a3b454e01c89e4b579168

Observation fcb9b21a-fb9c-4ad6-a980-b40820e5364a · outbound

This paper cites Bazant, M.

Fracture of disordered and stochastic lattice materials Bazant, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.393729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:43.742031Z digest=sha256:6d4e683a594727ac35a7650cb2a6cc69c6d9784e94050322e85c8d91a01efa78

Observation 0124e994-404b-4125-b41d-4ef98f6b3401 · outbound

This paper cites Bazant, M.

Fracture of disordered and stochastic lattice materials Bazant, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.369992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:43.923625Z digest=sha256:d17086e10902767e3e9f8f48b21f7c383f1c8d69d8b684f3d4ba8e59b1dc8cf5

Observation b0260758-2f87-491b-81af-a8f72dfe3999 · outbound

This paper cites Hossain, C.-J.

Fracture of disordered and stochastic lattice materials Hossain, C.-J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.348722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:44.055498Z digest=sha256:477938645aa66554432afc0d2dea1f58c5c182092e526e84dc0eefd152c3921f

Observation c657a4e7-185a-4e23-bee5-8a6eefba3141 · outbound

This paper cites Hsueh, L.

Fracture of disordered and stochastic lattice materials Hsueh, L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.324675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:44.175315Z digest=sha256:a1fa6841bd1610241dedfe82ebf9f32f9ed1a19bb94be0cf5845fa6ea69bc8ed

Observation 15f7acee-9692-40d9-a30e-058eccf0c9fe · outbound

This paper cites Heide-Jorgensen, M.

Fracture of disordered and stochastic lattice materials Heide-Jorgensen, M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.306563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:44.324093Z digest=sha256:59ba26c2adeb78192270392fda738273bf2eee753caa68ebac90590a60cc2634

Observation a5ff1e60-0be5-4e06-9976-f549aa5fbdb2 · outbound

This paper cites Mateos, W.

Fracture of disordered and stochastic lattice materials Mateos, W

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.281550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:44.463974Z digest=sha256:2d5164395e9d5a580d88f33a00b5e88a868c959a42c90880ab7d68b32a3d3de0

Observation 117eba0f-921f-44a1-b9c1-7af3847066bb · outbound

This paper cites an unresolved cited work.

Fracture of disordered and stochastic lattice materials Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:39:48.258433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:44.550965Z digest=sha256:0163bb3a8f9d5801966371caf43d9a75cb7af0aa36bf4479599445a5141fe86c

Observation 0a66d75e-ce1e-4c7c-9442-ba2b83cbce16 · outbound

This paper cites Muro-Barrios, Y.

Fracture of disordered and stochastic lattice materials Muro-Barrios, Y

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.237242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:44.649222Z digest=sha256:7cafaf258af51c28d1a1c67f1e0ba9d4853c961c4168c991438ca05f84100f70

Observation 944d9fec-29a1-4f88-bc27-33d156f84866 · outbound

This paper cites Fulco, M.

Fracture of disordered and stochastic lattice materials Fulco, M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.210122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:44.747800Z digest=sha256:89a388874e865e8b1ffa71f849c3315052b0b6df2f5a0479edaabbd2f2619a6f

Observation 54315230-b43c-49dc-a49b-f1c9fa648730 · outbound

This paper cites Fulco, M.

Fracture of disordered and stochastic lattice materials Fulco, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.190637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:44.854246Z digest=sha256:6b0cc0304d78db1b57d16bccbd245b8122041275ed4c2b74953a781a5ce3a0f1

Observation fe74bc30-f4c8-40ba-aeb1-125376e46220 · outbound

This paper cites an unresolved cited work.

Fracture of disordered and stochastic lattice materials Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:39:48.168821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:45.037199Z digest=sha256:888945d5afcfcf64921294012e3942bc370345fab4ea4e7600cceb3ef6737413

Observation cfd5c3ca-319f-4a93-971d-73d17f22f7d1 · outbound

This paper cites O’Masta, L.

Fracture of disordered and stochastic lattice materials O’Masta, L

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.146964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:45.175439Z digest=sha256:3e2a025c7556b56b50976f4af5c60a391ed38dfe5e9ea741fb870c91d67b9799

Observation e645bfe8-2970-4bbc-9f62-8a984256a1bc · outbound

This paper cites Shaikeea, H.

Fracture of disordered and stochastic lattice materials Shaikeea, H

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.121823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:45.342766Z digest=sha256:c641fb529fac686c98ca02de3d787be31485c2b8f41143e9831a65d871d7a7f9

Observation 2fad312c-5fba-4d61-afe6-58c80b93950a · outbound

This paper cites Zhang, X.

Fracture of disordered and stochastic lattice materials Zhang, X

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.100262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:45.460295Z digest=sha256:17a7ce6e04a3cc5b28831667516a4e64b3369d2e829a147d654fd61017f7cb86

Observation 5d0b6a4e-d2b5-4a42-94a0-41859938e5b9 · outbound

This paper cites Athanasiadis, M.

Fracture of disordered and stochastic lattice materials Athanasiadis, M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.075596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:45.596382Z digest=sha256:3ddcec9e40157d7e0e47ed4e1618f7fcd8ea021628cee0e62938bbc0c06eb4a6

Observation eeaf533a-ab9f-43b6-af87-417691cfb2c8 · outbound

This paper cites Hedvard, M.

Fracture of disordered and stochastic lattice materials Hedvard, M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.052344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:45.746238Z digest=sha256:003e758aec22159f0d1c43a281ab0490ff767f00cddec73735bdb83f9a11b59e

Observation 3ae1517d-d92d-4119-aebc-356ebbfc559c · outbound

This paper cites Heide-Jorgensen, M.

Fracture of disordered and stochastic lattice materials Heide-Jorgensen, M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.025914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:45.936935Z digest=sha256:532f1a3c03de148613e7b1cabda7b95aa289471259f02863036999d18d90b6b4

Observation e4a1af74-c8d8-41a1-8839-3df863b9cc61 · outbound

This paper cites Fulco, M.

Fracture of disordered and stochastic lattice materials Fulco, M

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:48.005311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:46.083652Z digest=sha256:53e383784f4ca70b7e5ee582e29ab247a3e34b37eb6fb06cd7393f4793f71d38

Observation 65d4a88c-450b-4c37-adc9-d6d1365a79ba · outbound

This paper cites Driscoll, B.

Fracture of disordered and stochastic lattice materials Driscoll, B

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:47.983804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:46.235685Z digest=sha256:e5482c08eea255f7b7eecdb4d97c3c922416a036ac4393dab6a7581c06b3b52e

Observation 02cf0e0f-eede-4687-bc5a-c4d6fe4161d1 · outbound

This paper cites Bertheir, M.

Fracture of disordered and stochastic lattice materials Bertheir, M

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:47.962549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:46.410135Z digest=sha256:740a2f20971478e9acfc82fc32f1ee9e38036f2fb60370f49a28137f224e962c

Observation 4f9c84e5-241f-484e-ab76-9bc402737276 · outbound

This paper cites Karapiperis, D.

Fracture of disordered and stochastic lattice materials Karapiperis, D

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:47.941110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:46.587719Z digest=sha256:5b264716000428a2b2762007f65b48952a8dd23bef0f56c1c62c9e684d24c1dd

Observation 237d8675-b3c1-4f01-b0bf-37d0ef24df83 · outbound

This paper cites Weibull, A statistical distribution function of wide applicability, Journal of Applied Mechanics 18 (1951) 293–297.

Fracture of disordered and stochastic lattice materials Weibull, A statistical distribution function of wide applicability, Journal of Applied Mechanics 18 (1951) 293–297

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:47.920247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:46.729020Z digest=sha256:1fa35159e45c7f55ba9338863c0a2070b8f2c170ace9e8a96f7f4a6cd7aaf617

Observation d535e509-0fed-4336-aaa1-4a2e360ad4ba · outbound

This paper cites Ziemke, F.

Fracture of disordered and stochastic lattice materials Ziemke, F

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:47.892666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:46.946700Z digest=sha256:1de14e13c38bd0ac891e943b33867c3c35277cb0bdfb20043ca5bf47c3918a16

Observation 16b3a0ed-e2f1-4599-bf3b-097df7fa06bd · outbound

This paper cites Lavoie, Z.

Fracture of disordered and stochastic lattice materials Lavoie, Z

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:47.867625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:47.111737Z digest=sha256:0f43c6a441cc556f4e58c64f72c3413c1385c8b51e213bcdbfc0fbe46fae8a5e

Observation a9152eb0-a01d-471a-8b05-6353a562e1b4 · outbound

This paper cites Irwin, Analysis of stresses and strains near the end of a crack traversing a plate, Journal of Applied Mechanics 24 (3) (1957) 361–364.

Fracture of disordered and stochastic lattice materials Irwin, Analysis of stresses and strains near the end of a crack traversing a plate, Journal of Applied Mechanics 24 (3) (1957) 361–364

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:47.843411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:47.280896Z digest=sha256:d69547cbf5aea47dd64745e665421915ae8239227513bdb4a0edf6e2a86efe84

Observation a951647f-a4fe-4709-957d-ff54ded7138c · outbound

This paper cites an unresolved cited work.

Fracture of disordered and stochastic lattice materials Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:39:47.819348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:47.467926Z digest=sha256:318f5db6071135ef270fa56982b9be66e7882cba69ad3c30309a058e8057d6b1

Observation 7652eec6-bedb-430a-a677-04a7d134aa15 · outbound

This paper cites Fleck, V.

Fracture of disordered and stochastic lattice materials Fleck, V

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:47.797810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:47.628240Z digest=sha256:2da36823b6ba4eb70a2adbdb2e0511daa1dee969c0a03eaa895db5d050adf56c

Observation 17eb2ad2-0bb5-44c5-809a-6afe69168622 · outbound

This paper cites Westergaard, Bearing pressures and cracks, Journal of Applied Mechanics 5 (1939) A49–A53.

Fracture of disordered and stochastic lattice materials Westergaard, Bearing pressures and cracks, Journal of Applied Mechanics 5 (1939) A49–A53

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:47.778988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:47.649612Z digest=sha256:f2175f38e6251a2a54bad2ab7c8ec94ed38905227a6aa9ae469156da63285ed2

Observation de049c05-7a94-41f9-85a0-0424085f6050 · outbound

This paper cites Meyers, K.

Fracture of disordered and stochastic lattice materials Meyers, K

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:47.761198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:47.661100Z digest=sha256:8ec5078460d417741c8ed53bb11c57eb7d41c0c6682aba3497c45ea894abb3bb

Observation aa130c36-c4d1-4007-87b4-6f12f3923926 · outbound

This paper cites Fisher, T.

Fracture of disordered and stochastic lattice materials Fisher, T

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:39:47.736338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T14:39:47.672445Z digest=sha256:ade5c670aab028191fdbe5720c93732db6b48f337c7dc9cf698f6290f1fa573c

Pith citing papers

Observation f41f01f4-c7d1-4846-b6fd-271acdf2cd44 · inbound

How Geometry Tames Disorder in Lattice Fracture cites this paper.

How Geometry Tames Disorder in Lattice Fracture Fracture of disordered and stochastic lattice materials

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T02:53:07.840113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:53:07.840113Z digest=sha256:67305845bda85f8b41fba840b8efb1d29172f5225f5b7a69f97ab5a63aa628b3

Observation 015ead97-fce4-4325-a696-638f9f458dea · inbound

One-Shot Generative Design for Disordered Metamaterials via Self-Organizing Neural Cellular Automata cites this paper.

One-Shot Generative Design for Disordered Metamaterials via Self-Organizing Neural Cellular Automata Fracture of disordered and stochastic lattice materials

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-02T02:03:54.313237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:03:54.313237Z digest=sha256:5872c30bef2c3851800c82a72c02182c0fa1c8a1560ca3c05dba50792b1937f4