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Paper Citation Record · LEDGER

Fracture of disordered and stochastic lattice materials

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:43.085348Z digest=sha256:48b1c7fda6da28b5fa605db775e7112ed8587c35af0bc3a541fb42c84b1b1b75

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:43.205095Z digest=sha256:aa391d5f2787098231a1c84e95181f1fbc30c1cf795f1d8a05353e95717f706e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:43.373703Z digest=sha256:bb2d5381d119d703e8ca7cefcfb252bc4a7e1098af5c5881234ffc968dcc1d08

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:43.532351Z digest=sha256:84857a9a2a41cf3ff9c871a5fc128e4ccb94f8a3485183e54e50d2e9e78304c3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:43.742031Z digest=sha256:f426993212132a20109d1accbc1541cde8a0695db9ef168f06ac4ef96ac8c4d9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:43.923625Z digest=sha256:6bb499e482c9f17ab7d280e683405f019e222c1e79d0c364933a2874126ab953

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:44.055498Z digest=sha256:9a10284823c26afd1462d902385e64ac493f890aadb9d68edc35c402b0543710

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:44.175315Z digest=sha256:b27225b122af3eb8f648f1e04d91813aa296aacd01417fdef113d26802749a13

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:44.324093Z digest=sha256:f63309bcfe18b94168865a9efed27e20b37b2001971a1950838e83586a5b0015

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:44.463974Z digest=sha256:34f21a3d8a326342d4b55d947b52678b82a007a7ed2761f6a633343712265180

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:44.550965Z digest=sha256:024bc50dfaed0de72433f509d3ed6b0d3048fa2644ed601a344268546c3d3012

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:44.649222Z digest=sha256:cb9732e84bdb7893e0b7950fe776c44ee73b36ecd3d58750e673ba3556afa614

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:44.747800Z digest=sha256:5a69bfdefbd8c9dd6168e09d51305b8e679f56c00a6140dd62546b887d94f628

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:44.854246Z digest=sha256:a93611a33403c1dae7b1b190ea741c9b97ac849dba5e1a2510a7737165658008

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:45.037199Z digest=sha256:a6e419fb5c3af5c4dda8ad481f7458607bbbd9116fc0bf5910b664f2f74422d3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:45.175439Z digest=sha256:2b27e804c343c6c2e0f2cb5367dfee35da7749a2740510999178965ec0509b3e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:45.342766Z digest=sha256:7a8a5fa8a01d2b09bc3b90e7995ee6f357c6c6a06e3721141c2392f79e127545

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:45.460295Z digest=sha256:5add89c1ed0401d05d5d6554ad7e7aa2d34f91f4eef44cd649c02705f8ca40b9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:45.596382Z digest=sha256:b45a790edcd82f5de93de3fb71da788a5e787424744bf226e362c7e531d9df86

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:45.746238Z digest=sha256:3cf87651fdd0e6f6ba944b1790ecd18a082cc0b435bb974262251d3567bde6e1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:45.936935Z digest=sha256:321c824577c20ebf14cff9b7dedad6b2f1c27c9baf954e1706ace65e34f02ab8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:46.083652Z digest=sha256:47513cded39edc7d30906a0486582338b28f346b236340630432208ae6a65357

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:46.235685Z digest=sha256:c5336390aa189d9dbb9b5d9cacda36836db93a54efb352edd052cf2b47b35d6c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:46.410135Z digest=sha256:a5915cf427f26c33953c066495cdd5d6bc2dbf9ce86e4ece4cc61584104f8243

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:46.587719Z digest=sha256:64188beb55ef3c536267643639736c83aabd001db6679d1c6b113b4e47656458

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:46.729020Z digest=sha256:5b6f8d3113b5b9082fc447dd967f28ab7db31a5f87a37aead496e6a44777b889

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:46.946700Z digest=sha256:f4d99a66ee483997710b8d0feac5c820b73a43cb612aa86316dfb5b6bc1b4162

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:47.111737Z digest=sha256:0378162af6ae798adfbbdd14d006d3496fcebe3de431bca1d000d0da0dee37d0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:47.280896Z digest=sha256:b1dcbbc3daeb7b818940e37206de7d13e412bf4513d34f5a3fa4cf1d55a206d5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:47.467926Z digest=sha256:c860a6870b551a0a4615d87b12861bd4e4e38cd34430821868f9dd5d8feb05d1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:47.628240Z digest=sha256:cac173d558e4f5b0c92b037eb604e9be69e5ac426a9d14c29d9dbee382f21dda

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:47.649612Z digest=sha256:fe77066566eae2f433007e80f498bab8968d7ad3ab597d049ee6664502034b01

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:47.661100Z digest=sha256:5d908afdf29e0fb89cc8057ba51ea3655954971c1df35c317f3d7e43895067a2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T14:39:47.672445Z digest=sha256:7a670bc1bdfeba5772d5d2bceb1510709afc5ef48787ec3c4728b764f0fd4cb1

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