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Paper Citation Record · LEDGER

Simple Formula for Integration of Polynomials on a Simplex

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.06736.

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

pith.paper-citation-record.v1
1908.06736 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:42:40.424966Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

14 of 14 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c7ba8854-a94e-451c-a967-8551df58c702 · outbound

This paper cites F., Houston P ., Pennesi G., Fast Numerical Integration on Polytopic Meshes with Appli- cations to Discontinuous Galerkin Finite Element Methods, J.

Simple Formula for Integration of Polynomials on a Simplex F., Houston P ., Pennesi G., Fast Numerical Integration on Polytopic Meshes with Appli- cations to Discontinuous Galerkin Finite Element Methods, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:42:40.814718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.309049Z digest=sha256:4c3632c515bb2287b7c314f93c9e6435fbf8418b8e83f2e97325f3804bdf9582

Observation 78668728-674c-48d6-bca1-1326b307fa6a · outbound

This paper cites How to integrate a polynomial over a simplex, Math.

Simple Formula for Integration of Polynomials on a Simplex How to integrate a polynomial over a simplex, Math

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:42:40.790722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.317395Z digest=sha256:b316ea872f8b565b15abb98f428a0ed818f6f9b7742d610d552c291471592065

Observation b3a8120a-9595-4992-86dd-4c9d0b071cab · outbound

This paper cites In Gil Kalai and G¨ unter M.

Simple Formula for Integration of Polynomials on a Simplex In Gil Kalai and G¨ unter M

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:42:40.760883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.325537Z digest=sha256:d172daad3ae21bbf05647994c749a6aa8c48e260500c528c06ef53b472fd4f54

Observation a57bfe66-d975-4e73-b8eb-4b18489234dc · outbound

This paper cites Mech., 56, pp.

Simple Formula for Integration of Polynomials on a Simplex Mech., 56, pp

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:42:40.736560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.331574Z digest=sha256:355b790f8ee34995fd8725435c20498a097ff8c600274846e67fe338136486ee

Observation 523e7f1b-6b27-4027-8864-2e7127b0e594 · outbound

This paper cites B., Sukumar N., Modeling curved interfaces withou t element-partitioning in the extended fi- nite element method, Int.

Simple Formula for Integration of Polynomials on a Simplex B., Sukumar N., Modeling curved interfaces withou t element-partitioning in the extended fi- nite element method, Int

Reference 5

Resolution
verified exact
doi, observed 2026-08-14T12:42:40.486842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.339819Z digest=sha256:5d85d7640fe20abbae4fb56288d8d1c9efe12f2ee805ec335025a8e7c59dce1e

Observation ca55a29d-afe6-4b4e-ab17-8da44bf4f6cf · outbound

This paper cites e79-e90 (2015).

Simple Formula for Integration of Polynomials on a Simplex e79-e90 (2015)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:42:40.718347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.350683Z digest=sha256:b284490d072c15696935ef8f72e112ae0aa9c9d944164201cab5f360ac5ad2c6

Observation 3f324d33-a915-44b4-ac81-4a503fa4cf3d · outbound

This paper cites Positivity Certificates via Integral Representations.

Simple Formula for Integration of Polynomials on a Simplex Positivity Certificates via Integral Representations

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:42:40.516920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.360110Z digest=sha256:e9b577952263af5c5e5bb9e3e7146e6adb9db9b95422114cf2078e74841654fe

Observation 0a218c9d-bc72-45f0-a46d-ebd2e845a252 · outbound

This paper cites an unresolved cited work.

Simple Formula for Integration of Polynomials on a Simplex Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:42:40.696955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.367772Z digest=sha256:b032db2db4ffbf5a83feb587f0be6fee374eea19cc4f07921d92386bab24fed3

Observation 0c878015-7748-4fea-9adf-55cea08f353e · outbound

This paper cites an unresolved cited work.

Simple Formula for Integration of Polynomials on a Simplex Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:42:40.677068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.375873Z digest=sha256:f57d84c948d7ef336b308fb2b6c5d4d42c179d78e725f6a5718f0698192c366c

Observation 7f574676-20aa-4acf-baf9-60699d8ad6db · outbound

This paper cites 1126–1140 (2001).

Simple Formula for Integration of Polynomials on a Simplex 1126–1140 (2001)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:42:40.653209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.384114Z digest=sha256:d4c81611a9076646fe62385811b9b4d1220eb7cd04cb31c2a13df34c96d47349

Observation 94e8005c-7a1c-407c-a1ba-d42242007b70 · outbound

This paper cites an unresolved cited work.

Simple Formula for Integration of Polynomials on a Simplex Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:42:40.627402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.393560Z digest=sha256:767f2e032a7f99be0b6142e69a6a1fa0133fea6fa53c96285d35bc537e18ae11

Observation 42a5dea6-32d4-4034-83ef-3ecf28c7820e · outbound

This paper cites an unresolved cited work.

Simple Formula for Integration of Polynomials on a Simplex Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:42:40.597486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.401465Z digest=sha256:204773959f852199b4fdebd21bf69161cb05631da9babd536cf049c0efeac93f

Observation cc8d4c36-e983-4477-9e73-030c9f3a81e1 · outbound

This paper cites Methods Appl.

Simple Formula for Integration of Polynomials on a Simplex Methods Appl

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:42:40.567539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.412184Z digest=sha256:5cf7e361753ef94e0704c69c8df385b51285bf29994c05055d7f2068dbfd9d19

Observation cd5732c4-1329-4b47-8161-59d8ae0b2441 · outbound

This paper cites Quantitative Spec- troscopy & Radiative Transfer, 129, pp.

Simple Formula for Integration of Polynomials on a Simplex Quantitative Spec- troscopy & Radiative Transfer, 129, pp

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:42:40.541378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:42:40.424966Z digest=sha256:b2f5455355f7dd2cf82a50f66a334ad65491cf0f538c51b577816e5bf0e677fe

Pith citing papers

No inbound Pith citation observations are available.