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Paper Citation Record · LEDGER

Fracture of disordered and stochastic lattice materials

As of 7 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:43.085348Z digest=sha256:4541e9f533f384da62a21c7d6c01a24651f0219131558a62b093947ca357001e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:43.205095Z digest=sha256:6c087e75e953acc9b166b9ff32cda42f18224ceff523a2b928fa6f72ae25b1a2

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:43.373703Z digest=sha256:a122007122094f285220f24a6d6efa482ec19f25148d4eca2f6944586eba084f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:43.532351Z digest=sha256:9f291de1b3867df5857718c771e288c89ab1330c91084a11287b0ad0c4daba91

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:43.742031Z digest=sha256:4f58b00f06b7e710cf9f9957d2e28f68ca8251c2899af4dd85d68369d45cc004

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:43.923625Z digest=sha256:eaef7e3faaad87b696a2e65b757361d483582245e73afdef30dc29832974be44

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:44.055498Z digest=sha256:e15b00dae685a305c7e672e273104e155ea4f084dd28fbe51d3540733aba00c9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:44.175315Z digest=sha256:d6afd1f6a600b0f73d0ff6777bb989165af32289f9bfe8ab8e316403c5fea0b3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:44.324093Z digest=sha256:c12ef19f11f623e3be7ab3187133606717afa1cf365d06c2c6471f5dc5770208

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:44.463974Z digest=sha256:2ee869dc694192054351720ec800dd84866965ca12549441d28c069bd44a06d0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:44.550965Z digest=sha256:d5e0c276fd946ca728252ad49cea0a7472942398347a4189dc14957fce3e536b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:44.649222Z digest=sha256:54afa610037d9a922c3a59fb036e462672153eb1da994ea14b58dfc05123c4dc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:44.747800Z digest=sha256:13f1e1a8c498eea5c26f9366e0c3fef9303053d3c2e5c717d9a385358cdc3818

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:44.854246Z digest=sha256:a65edd775df829acae90a2e582b955c13fe60b49274b32675a63c40a07ceb684

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:45.037199Z digest=sha256:d74ea6f58ca1fc5463bedef15fceb8f06b9aa8652d57db4c111373a4509cbd41

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:45.175439Z digest=sha256:2ebb145b33ffb947803088165bb7a870712210f8c2180877e08c40bc76fe0018

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:45.342766Z digest=sha256:9320fc85a9ca505ba87cbea0b3d994404e83c7e097a76efe8447f77cfcb34897

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:45.460295Z digest=sha256:29adfe5883e5c1fc5ba573bf161890b58852756e115b519afb8da5d42ccb6e64

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:45.596382Z digest=sha256:5f6fcb5a74655c1402c81d632b45ce189fee71130f220f2fd1878770c37051d0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:45.746238Z digest=sha256:7c953f8ab99da0480e0a1dcb9c7252348fbc1e10e08151bb64bc22500ba6c2bd

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:45.936935Z digest=sha256:6c372ec26d7fb9e13f77dc6329cabd8faed813b8c2c6b6bb6de01d5c6d60ebee

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:46.083652Z digest=sha256:85382fc71a6895f898b93216e449853161bf8e0c9bc880f717748a656348bc45

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:46.235685Z digest=sha256:ac78865f3dcba0d2bd1d4f544e6c817f2acc53103d440bcb0571a57aceba17a1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:46.410135Z digest=sha256:1167509253da9f6cc28a0af91eec3fb5c48fb0b3131cbf0bbc25f8a5c545e8c9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:46.587719Z digest=sha256:dde03cfa01b8dab58cf5335442c0b142f4aa5d27b351549d68e0d1fbe596b3be

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:46.729020Z digest=sha256:c49cda044d2e09d3bb337d703b77436abf6e09a5cf0b8e8b9ff3c5678f741c5b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:46.946700Z digest=sha256:3cac80e24dcad3f1cb4bfdfebcda4f0f457d462812941354decdbdff95974d51

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:47.111737Z digest=sha256:ea18f35b943dc967a2c44ef5c0c34967cdb9489be0e6592c1313301e163bcc9b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:47.280896Z digest=sha256:bb49d148ad7ac7a429fc18d0e30166a28ca678cb09039b108782f9b82dc4499a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:47.467926Z digest=sha256:07b74347f60ad69a7d9407baa4aafb8e544932a97c23f90b005a82b7f7e559c3

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:47.628240Z digest=sha256:9f4088c85f9e5ee210e1d1890508afce69612af979dd70b0e2ada0c66c74135c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:47.649612Z digest=sha256:688c924eaf0694a2c2228419948ac2e5250d9be3e6788abef9ffee15274e622d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:47.661100Z digest=sha256:da90d99cb72becf946d76f8eb8d8e7e53502775a7a5ab893425d1c0cf6a96e8a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-05T14:39:47.672445Z digest=sha256:0922f8b788b43027cc469c34ddb506ca524eec4878599864fba12588e492561a

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=sha256:16ac576812582f1ced8b177aec3838e512634c95c30fd412583bdc99c25c8a1a

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