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Paper Citation Record · LEDGER

Engineering Phonons in Compositionally Complex Carbide Ceramics

As of 17 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2508.04812.

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

pith.paper-citation-record.v1
2508.04812 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T23:48:56.235132Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T23:48:11.599746Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T23:48:11.683229Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved6
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 07a76fef-645e-4a80-9b49-a134bd351bae · outbound

This paper cites an unresolved cited work.

Engineering Phonons in Compositionally Complex Carbide Ceramics Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:48:57.654061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:55.508556Z digest=sha256:33b982d46fcf48754b387876b8a5327fc5a46c26e1f671102393b0dfe964a840

Observation f51e5dc2-087c-42ee-a3a3-36dd72ed7154 · outbound

This paper cites Since u is a unipotent transformation that fixes [ f1] and sends [ f2] to [f ′ 1], it follows that u(f1) = f1 = f ′ 2 and u(f2) = f1 + f2 = −f ′ 1.

Engineering Phonons in Compositionally Complex Carbide Ceramics Since u is a unipotent transformation that fixes [ f1] and sends [ f2] to [f ′ 1], it follows that u(f1) = f1 = f ′ 2 and u(f2) = f1 + f2 = −f ′ 1

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:48:57.145482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:55.760069Z digest=sha256:356226cdf85924f10eb88aaace9d9c65c397899f6f1c1bca2557485e989dfde2

Observation d533469e-3021-4d48-a154-66e300f1af8a · outbound

This paper cites an unresolved cited work.

Engineering Phonons in Compositionally Complex Carbide Ceramics Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:48:57.024481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:55.843276Z digest=sha256:78bfbbef7cd821c562a26ce45fe2040baf4f1bf80864abbc8bb08ebd79061468

Observation ea7b6177-17ca-4615-ae6c-ddc571c27575 · outbound

This paper cites , 26 MALONI S., MARTONE G., MAZZOLI F., AND ZHANG T.

Engineering Phonons in Compositionally Complex Carbide Ceramics , 26 MALONI S., MARTONE G., MAZZOLI F., AND ZHANG T

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:48:58.420697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:55.075753Z digest=sha256:17baaff42c6072ab522f0bedf3cc2b523ebd455bf09d2271a8aa3ef54d2001af

Observation 3c7841c2-ec10-4583-aa95-60aad80c6a8d · outbound

This paper cites an unresolved cited work.

Engineering Phonons in Compositionally Complex Carbide Ceramics Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:48:58.227617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:55.160060Z digest=sha256:b6ac4e21d2950e6d69edadecffe9d07bace4af5dcf28f7d0cec592221c0b0701

Observation a5cf20c7-4ce7-4398-8f38-6851f9684611 · outbound

This paper cites an unresolved cited work.

Engineering Phonons in Compositionally Complex Carbide Ceramics Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:48:58.033846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:55.232921Z digest=sha256:6cdc0ce7814b250661a034a8b4441c52c1f584aebb2a23324591a8c7349aa7fe

Observation 01eb51cd-6730-437d-842a-0dbd87429b62 · outbound

This paper cites an unresolved cited work.

Engineering Phonons in Compositionally Complex Carbide Ceramics Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:48:57.844650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:55.377951Z digest=sha256:d133f116831c7b91bba4c3ceb309b1370b209418286b991620ef48e840b156a1

Observation dc66fc5b-f2e8-4047-847c-3edb0bd6255b · outbound

This paper cites Since L1 and L2 contain strictly fewer truncated rectangles than L, the inductive hypothesis implies that Σ ρ(ecL2 ) = id = Σρ(ecL1 ), so the inductive step follows.

Engineering Phonons in Compositionally Complex Carbide Ceramics Since L1 and L2 contain strictly fewer truncated rectangles than L, the inductive hypothesis implies that Σ ρ(ecL2 ) = id = Σρ(ecL1 ), so the inductive step follows

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:48:57.471063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:55.600463Z digest=sha256:0c87090f496596b67a9a68d7239f23d7c0f17cf86be0b105455321d899929883

Observation 758eec81-47af-44bf-b131-f150580fe19c · outbound

This paper cites In this section, we will specify a finite sequence v(0),.

Engineering Phonons in Compositionally Complex Carbide Ceramics In this section, we will specify a finite sequence v(0),

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:48:57.326876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:55.687138Z digest=sha256:3785976f36a22b4797d7ade05edd4060c732e0f5d095e511ea41aacfe7c81dac

Observation 18e0e851-ac99-43b4-afd7-42f43a8956bf · outbound

This paper cites an unresolved cited work.

Engineering Phonons in Compositionally Complex Carbide Ceramics Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:48:56.861257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:55.945404Z digest=sha256:0de49c7d3d384bb7bb50c68d735af4623fdde1bd73744395461cdc3c95558805

Observation 8a30f4ad-8aaf-4d14-a350-6e6de838af5d · outbound

This paper cites For each m ∈ {1,.

Engineering Phonons in Compositionally Complex Carbide Ceramics For each m ∈ {1,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:48:56.706999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:56.028942Z digest=sha256:09bc3d9b661d3135f63ed78e74e180d214eeca542d3656e9313b3463e1f5c380

Observation aebec25b-f9cb-4633-9941-aa88a8169272 · outbound

This paper cites Step 3: Let H3 ∈ F(Cd) be the flag such that H 1 3 = F 1 3 and τ j(F1, F2, H3) = 0 for all j ∈ B.

Engineering Phonons in Compositionally Complex Carbide Ceramics Step 3: Let H3 ∈ F(Cd) be the flag such that H 1 3 = F 1 3 and τ j(F1, F2, H3) = 0 for all j ∈ B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:48:56.590865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:56.161484Z digest=sha256:10b403d09416ab1ffd6afbc512c46495b61454a2ead4993e525f4d140b5fa73d

Observation 16e2c014-6a8a-4088-9eeb-4e4c6fe887f0 · outbound

This paper cites an unresolved cited work.

Engineering Phonons in Compositionally Complex Carbide Ceramics Unresolved cited work

Reference 14

Resolution
malformed identifier
raw_fallback, observed 2026-08-05T23:48:56.404644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:56.235132Z digest=sha256:961ab41c4afccfeeaa4231356e2ea743cc22958e30462c9cea237d7fb0188389

Pith citing papers

Observation eddd90e3-f39a-4d04-8dda-158212238e39 · inbound

HCRide: Harmonizing Passenger Fairness and Driver Preference for Human-Centered Ride-Hailing cites this paper.

HCRide: Harmonizing Passenger Fairness and Driver Preference for Human-Centered Ride-Hailing Engineering Phonons in Compositionally Complex Carbide Ceramics

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-05T23:48:11.764960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T23:48:11.599746Z digest=sha256:e5031c91f82cb87b2153f3444aaa1d858cc0d6f751c16ac974d9faca43061e16