Paper Citation Record · LEDGER

Discrete energy as an exact label-free training objective for finite-element surrogates

As of 11 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2608.05437.

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

pith.paper-citation-record.v1
2608.05437 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T13:09:02.140129Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

19 of 19 outbound references displayed

verified exact2
verified fuzzy10
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 172f63df-187d-4041-ab71-142ea137844b · outbound

This paper cites an unresolved cited work.

Discrete energy as an exact label-free training objective for finite-element surrogates Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-08T13:09:02.515212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 701a7645-a457-4eb2-b02e-e8ddc715e413 · outbound

This paper cites Samaniego, C.

Discrete energy as an exact label-free training objective for finite-element surrogates Samaniego, C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:09:02.501131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cdcd5e37-5744-48fb-8039-ec9b96590ac9 · outbound

This paper cites Liao and P.

Discrete energy as an exact label-free training objective for finite-element surrogates Liao and P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:09:02.487842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b58652e2-08d1-48ac-968f-df005bcf7940 · outbound

This paper cites Deep Ritz Method with Adaptive Quadrature for Linear Elasticity.

Discrete energy as an exact label-free training objective for finite-element surrogates Deep Ritz Method with Adaptive Quadrature for Linear Elasticity

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-08T13:09:02.286653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e604c217-decc-48ab-a4eb-e0ec8084baa8 · outbound

This paper cites an unresolved cited work.

Discrete energy as an exact label-free training objective for finite-element surrogates Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-08T13:09:02.077851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ead0bc04-5daf-4bda-b712-df64d72708b7 · outbound

This paper cites Methods Appl.

Discrete energy as an exact label-free training objective for finite-element surrogates Methods Appl

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:09:02.474522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d8c7f88b-2b37-4efb-9440-4ffa76c42a90 · outbound

This paper cites An operator preconditioning perspective on training in physics-informed machine learning.

Discrete energy as an exact label-free training objective for finite-element surrogates An operator preconditioning perspective on training in physics-informed machine learning

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-08T13:09:02.182255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7dbcdd3b-f218-4e6b-b7cf-b4bd804a1af2 · outbound

This paper cites an unresolved cited work.

Discrete energy as an exact label-free training objective for finite-element surrogates Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-08T13:09:02.460472Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 59a7165c-d72f-4d7c-a62b-00e29ab723c5 · outbound

This paper cites Saad,Iterative Methods for Sparse Linear Systems, 2nd ed., SIAM, 2003.

Discrete energy as an exact label-free training objective for finite-element surrogates Saad,Iterative Methods for Sparse Linear Systems, 2nd ed., SIAM, 2003

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:09:02.445811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f0957765-fe39-476b-b864-145c36fb01a9 · outbound

This paper cites LeCun, A path towards autonomous machine intelligence, version 0.9.2, OpenReview preprint, 2022.

Discrete energy as an exact label-free training objective for finite-element surrogates LeCun, A path towards autonomous machine intelligence, version 0.9.2, OpenReview preprint, 2022

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:09:02.431058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2b5bf65c-9028-4ba2-bd07-de1cf21283de · outbound

This paper cites an unresolved cited work.

Discrete energy as an exact label-free training objective for finite-element surrogates Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-08T13:09:02.416170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c3dab654-497b-4f49-8ff1-fc65c93a3e52 · outbound

This paper cites an unresolved cited work.

Discrete energy as an exact label-free training objective for finite-element surrogates Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-08T13:09:02.401934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 15d91886-3e49-4d68-94cf-28bb134026f7 · outbound

This paper cites an unresolved cited work.

Discrete energy as an exact label-free training objective for finite-element surrogates Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-08T13:09:02.387406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 011f103d-76cd-4591-8d0d-b1e788983fe0 · outbound

This paper cites Chung and G.

Discrete energy as an exact label-free training objective for finite-element surrogates Chung and G

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:09:02.374045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 06002650-3096-4b5e-af3c-f7233283a0b3 · outbound

This paper cites an unresolved cited work.

Discrete energy as an exact label-free training objective for finite-element surrogates Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-08T13:09:02.360195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 30cf3fb5-64f9-4277-92d7-f235bec1837d · outbound

This paper cites Ortiz and L.

Discrete energy as an exact label-free training objective for finite-element surrogates Ortiz and L

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:09:02.345925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d38cb9e3-7b61-4d17-b796-2153965932c8 · outbound

This paper cites Brezis and I.

Discrete energy as an exact label-free training objective for finite-element surrogates Brezis and I

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:09:02.331498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a12e0b00-ca30-4624-9b25-7fa7702b319e · outbound

This paper cites Nayroles, Deux théorèmes de minimum pour certains systèmes dissipatifs,C.

Discrete energy as an exact label-free training objective for finite-element surrogates Nayroles, Deux théorèmes de minimum pour certains systèmes dissipatifs,C

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:09:02.316496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f114f9b4-9974-4689-a9db-205166eccd88 · outbound

This paper cites Serra and P.

Discrete energy as an exact label-free training objective for finite-element surrogates Serra and P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T13:09:02.300540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.