Pith. sign in

Paper Citation Record · LEDGER

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations

As of 24 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2509.00739.

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

pith.paper-citation-record.v1
2509.00739 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:23:45.374957Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

30 of 30 outbound references displayed

  • verified exact20
  • verified fuzzy3
  • unresolved3
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b05f03f3-49b6-4ca9-9764-6ba74a909f53 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 1

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T13:23:49.488020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:42.762522Z digest=sha256:d1ac940a7b788ead97e25da7d9af4342afe945760ff4b4eace1d824f452db629

Observation cedcc8f0-f267-48d6-b712-37860b3cce4b · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 2

Resolution
verified exact
doi, observed 2026-08-05T13:23:48.135831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:42.815303Z digest=sha256:cb98dd64d72f7d4a869c2e25823644404389f9748f383d61c9851042ddeb559a

Observation 705d1a78-9ed1-486c-bcef-54257a6ec34d · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 3

Resolution
verified exact
doi, observed 2026-08-05T13:23:47.993418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:42.879375Z digest=sha256:48ad4168f7789505b7e14ac1aca301eebaa6aec5a5c9ab391e7bffa6aa41a5c0

Observation e2e4beed-ea04-467e-a5de-5fbbf3b1e0e5 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-05T13:23:47.822028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:42.981103Z digest=sha256:6954b5271881a6dbed25198ec92867c91464f6f532501bf75209517542cf16ba

Observation 9394777e-fc0b-4122-944f-d1d1e0dce115 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 5

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T13:23:49.214516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:43.078509Z digest=sha256:1c04e17996c9607f1a853e98e6cc98bed2fc24c13ec692fe689f37f5eee948f9

Observation 1cbfe736-f57d-4794-b4a5-7d8166dda598 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-05T13:23:47.674649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:43.183866Z digest=sha256:e45287a1805db9a436cf9b2d4653a305462f669c9b91f6e752b2bf4a4d54bcdb

Observation 2932fb27-bff8-4d51-bfb2-f18107149bfa · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 7

Resolution
verified exact
doi, observed 2026-08-05T13:23:47.535524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:43.247122Z digest=sha256:782af8a50e998515c9cf0fbae18377c079da7022db6c641fc347f940720f6fb6

Observation 1e3bf5a3-0e60-452c-b31b-f4aad66cb785 · outbound

This paper cites John Wiley & Sons Australia, Limited (1989).

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations John Wiley & Sons Australia, Limited (1989)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:23:49.868528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:43.351690Z digest=sha256:6fb9102b527488d2f7a66ef288f69c8f4de0ca4f37b637b0144b8e71471f833e

Observation ec13f4a4-ffaf-43dd-8282-a0ad0c29fcd7 · outbound

This paper cites Source Proc.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Source Proc

Reference 9

Resolution
verified exact
raw_fallback, observed 2026-08-05T13:23:48.915575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:43.429008Z digest=sha256:dc23b3a5e14b56401b49a1d5cbb3f9f930e19ae9b49cf4b9ee251a8bb8646f79

Observation bed2f0ad-17c3-4857-9d41-477953191404 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 10

Resolution
verified exact
raw_fallback, observed 2026-08-05T13:23:48.671235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:43.488812Z digest=sha256:ab182bf8088e3a0452cc7acabd03a76a70a1ceb270dc9b73e8eca45dd0a62218

Observation f1ac9d5e-17d9-4954-a076-218c9ff4a39e · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 11

Resolution
verified exact
doi, observed 2026-08-05T13:23:47.413734Z

Source-reported events for the cited work

correction dated 2023-02-17. Source: crossref record 10.1016/j.ijsolstr.2023.112144->10.1016/j.ijsolstr.2021.03.017:correction, observed 2026-07-11T03:14:16.612356+00:00. This notice travels one citation hop only.

source=pdf_text observed=2026-08-05T13:23:43.584485Z digest=sha256:03ae695f8a20090462fe1a97b7c1740aca07527b7ba0b4acdb6f02c260eab8f0

Observation 22cbaf6f-5f3a-4588-aeed-57af2a591ea3 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 12

Resolution
verified exact
doi, observed 2026-08-05T13:23:47.238624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:43.650225Z digest=sha256:c822842629dde32dd9b4560aa566780c2f5147de1dd61101034ecd5e62c4ad1c

Observation d1f51fb8-818a-48d9-9413-95a745a451e9 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 13

Resolution
verified exact
doi, observed 2026-08-05T13:23:47.030451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:43.719383Z digest=sha256:4c1af124d12190a193850f6d500e40ad0971c67a8328c5e24fda31c02496bd4c

Observation d859842f-8117-45fd-ae0a-7e0d11769e0a · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 14

Resolution
malformed identifier
no resolver link, observed 2026-08-05T13:23:43.790333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:23:43.790333Z digest=sha256:392f3a7e09cf7568df73d13d2f39d24a5d2db9556aad06cc8243ce085fdb3c24

Observation 30515224-6f1c-472d-9d4f-ff9466f8163c · outbound

This paper cites Springer New York, New York, NY (2002).

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Springer New York, New York, NY (2002)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:23:49.858708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:43.849574Z digest=sha256:49440bce289e442d9e8cfaad6837b490657337062387a2091e88b4d0fb536e44

Observation 045a4423-2fd9-4a3f-a795-c6eaabbe46b0 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-05T13:23:46.875010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:43.948797Z digest=sha256:356a1027d553bbfe7adaba7c9049776df55342857a874ba6d7c89937c1200e19

Observation b93ed0b2-fca7-4135-ae1f-449d65b6a0c0 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:23:49.849433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:44.021413Z digest=sha256:8dcc5665d8e2f1df109f99d62b38c116c98d948a24d14e47f9a594741c4d9e08

Observation 2a47947f-4f1e-44e8-b104-49c7c51922c4 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 18

Resolution
verified exact
raw_fallback, observed 2026-08-05T13:23:48.493975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:44.107911Z digest=sha256:1aa6657688e091fe184f85e5a377504aa72773ad6e08ce7fa19aa9b9605657a7

Observation 006d65c7-0fe9-46c9-89e6-7ff711fd7729 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 19

Resolution
metadata mismatch
raw_fallback, observed 2026-08-05T13:23:48.334297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:44.223014Z digest=sha256:4a75878f2f3ed31a99c90c89a8b973ed5a781fbf253f468f90fb3804c19e8011

Observation db0df5a6-c027-4a9b-9cf1-75cae70f1f5e · outbound

This paper cites Springer US, 33 Boston, MA (2007).

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Springer US, 33 Boston, MA (2007)

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T13:23:49.838987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:44.314256Z digest=sha256:880371597ce671d86619d579536018d3c38e77eb1a690047c7477ddfd440669d

Observation f66079ed-e235-43a1-b03e-0c44466b74a3 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 21

Resolution
verified exact
doi, observed 2026-08-05T13:23:46.727838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:44.435100Z digest=sha256:f3f831de50f55c6e65369d842772170a5fe0d0a5b0e1b348ba5253332de4e20b

Observation ef48d306-93a9-4db8-ae68-e45f53a1c9a0 · outbound

This paper cites ZAMM - J.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations ZAMM - J

Reference 22

Resolution
verified exact
doi, observed 2026-08-05T13:23:46.585043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:44.561068Z digest=sha256:972e28bfc78a5488ec9044c5f7dad97349a41660baddc95634980961a77ad80f

Observation 57648c5d-1672-4828-b20e-1ca9749cc968 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 23

Resolution
verified exact
doi, observed 2026-08-05T13:23:46.388951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:44.629187Z digest=sha256:408cad4d59293817e6026a42d346e2c3230a55378476c90ae40cf80016bd5ec8

Observation 1a1a3599-75dc-40da-a2a8-3d4417f7b7c9 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 24

Resolution
verified exact
doi, observed 2026-08-05T13:23:46.249558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:44.742867Z digest=sha256:bfd9d0b033dd71ed9c1cd271fd40a2f0aa8f51ddc01f247cb6f024fb8ae2d401

Observation ec5d681b-d8cf-49ed-b5de-f768c2ea4658 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 25

Resolution
verified exact
doi, observed 2026-08-05T13:23:46.060203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:44.840540Z digest=sha256:026a2821771df5a32913e5093c5a190270aefa2bd2f0de384bc35b255896ee3f

Observation 5dbbe2a1-777a-4ca5-83ef-52bc5b49b034 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 26

Resolution
verified exact
doi, observed 2026-08-05T13:23:45.875681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:44.950143Z digest=sha256:a7b1bf0ed6b025ee762cadb465720353e8928984aac7a09dd2c269b01e2a0ec3

Observation e7535dbf-1664-473b-815a-879ccc700ddc · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-05T13:23:45.107921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T13:23:45.107921Z digest=sha256:22579fdf1408f5a2ed7ccf514389b3f204f40a1b174f48bc684df842cba89e6c

Observation eae54822-cd60-48ea-b658-7d88a99c4ad9 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 28

Resolution
verified exact
doi, observed 2026-08-05T13:23:45.734724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:45.228463Z digest=sha256:f7fb4c7813e4dc87ebbedf15dfea6d9fa99b6938345e9038d6f1c6ca96df4b81

Observation 006f45eb-a81c-4684-9801-acc799c3d2e9 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 29

Resolution
verified exact
doi, observed 2026-08-05T13:23:45.543960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:45.307655Z digest=sha256:98b767c663939ce468377789d662a7db14d8a8130cbe2f5d50b516cc642b1714

Observation c474dd80-5fad-4a9e-94a2-da4ddf044c11 · outbound

This paper cites an unresolved cited work.

Statistics of Residual Stress in Random Microstructures: Mean-Field Estimates and Full-Field Validations Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-05T13:23:49.649349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-05T13:23:45.374957Z digest=sha256:b400a3db1bea8e19db0cea34533fae4a80018ef89843b9d378c56f57959bc829

Pith citing papers

No inbound Pith citation observations are available.