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Paper Citation Record · LEDGER

Discrete Exterior Calculus

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 17 inbound Pith citation observations for arXiv:math/0508341.

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

pith.paper-citation-record.v1
math/0508341 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 17 of 17 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 17 of 17 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:31:34.365433Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T06:37:42.095810Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation b0d5a7e4-3205-4402-aec2-297a6251f690 · inbound

A Geometric Formulation of Linear Elasticity Based on Discrete Exterior Calculus cites this paper.

A Geometric Formulation of Linear Elasticity Based on Discrete Exterior Calculus Discrete Exterior Calculus

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-05-24T12:49:29.662477Z

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=2026-05-24T12:46:20.691856Z digest=sha256:f8756b28d1cd73abe6c1199fff94999fd5c20a1a33d8faaf6563f2cd0b5e8658

Observation a064502b-b460-455f-831c-c044fe47c68c · inbound

Generalized Yee methods: Scalable symplectic finite element Maxwell solvers cites this paper.

Generalized Yee methods: Scalable symplectic finite element Maxwell solvers Discrete Exterior Calculus

Reference 5

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verified exact
local_arxiv, observed 2026-05-24T10:04:18.997145Z

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=2026-05-24T10:02:02.441587Z digest=sha256:bc9373d30d868f2f2fe598141aab9bec4c2fb5bf672d5b26db3997bf2056cf3f

Observation 9db507a5-bb22-4db4-9e88-cdf6b146a428 · inbound

A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms cites this paper.

A Framework for Analysis of DEC Approximations to Hodge-Laplacian Problems using Generalized Whitney Forms Discrete Exterior Calculus

Reference 16

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local_arxiv, observed 2026-05-22T15:16:43.708063Z

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=2026-05-22T15:16:08.130363Z digest=sha256:57460289f1a05ab8e37c3ed61ea1b5b07adc7620e4edecf32cfaee347bbfa4f0

Observation b8ebb1d5-b347-482a-a893-0058909067f2 · inbound

Physics-informed sensor coverage through structure preserving machine learning cites this paper.

Physics-informed sensor coverage through structure preserving machine learning Discrete Exterior Calculus

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-04T17:58:15.395145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T17:58:15.395145Z digest=sha256:5cacdc5e9618542c56b6f491aff3d5f7e054bf0e4c570ef1580f48dca8727d49

Observation e41a1ae5-5d8f-4213-a447-571f7957b86b · inbound

Variational formulation of a general dissipative fluid system with differential forms cites this paper.

Variational formulation of a general dissipative fluid system with differential forms Discrete Exterior Calculus

Reference 7

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verified exact
arxiv_id, observed 2026-05-13T17:38:02.967231Z

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=2026-05-13T17:33:20.383942Z digest=sha256:3b314e0aacfa92a3e2984c7bc03fbf7458b40982ac40a7f6d87aa4b6537eb7d8

Observation 28bd606c-c8c0-412a-8958-35a0ae204509 · inbound

Tensor Manifold-Based Graph-Vector Fusion for AI-Native Academic Literature Retrieval cites this paper.

Tensor Manifold-Based Graph-Vector Fusion for AI-Native Academic Literature Retrieval Discrete Exterior Calculus

Reference 6

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verified exact
local_arxiv, observed 2026-05-13T21:33:18.514351Z

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=2026-05-13T21:29:07.004937Z digest=sha256:3956029e8d434e1e45e3e0daba7961f3039d65c7ceea63e6bbc8605fb2e61e1f

Observation 38474d5b-a516-4079-9b13-3ad81ac6efd9 · inbound

Mesh Field Theory: Port-Hamiltonian Formulation of Mesh-Based Physics cites this paper.

Mesh Field Theory: Port-Hamiltonian Formulation of Mesh-Based Physics Discrete Exterior Calculus

Reference 3

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metadata mismatch
local_arxiv, observed 2026-07-01T08:15:31.756078Z

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=2026-07-01T08:10:18.898879Z digest=sha256:bae199c0f4c1486d04b7d13ab536444642403665d97f99fd155bb6b59de4281b

Observation 4f41db1a-8312-4af8-a170-1b2cb0f4ce9b · inbound

A no-go theorem and its resolution for the discrete compressible barotropic Navier--Stokes equations cites this paper.

A no-go theorem and its resolution for the discrete compressible barotropic Navier--Stokes equations Discrete Exterior Calculus

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-05-20T15:43:27.061909Z

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=2026-05-20T15:39:16.155330Z digest=sha256:6e339013f980b44535c99c0133c54930862fe0e939ec2840d7e657ad025a0de2

Observation a9074178-dcd5-440f-ba82-aef73547ef33 · inbound

A no-go theorem and its resolution for the discrete compressible barotropic Navier--Stokes equations cites this paper.

A no-go theorem and its resolution for the discrete compressible barotropic Navier--Stokes equations Discrete Exterior Calculus

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-05-25T06:25:23.867811Z

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=2026-05-25T06:22:03.691296Z digest=sha256:8c7eea180fcee665c052d7cb18fd509bab4316ef0fee147b8eef488f9ad56fa3

Observation dd377bbf-4595-4377-8057-785f18cfa22e · inbound

Cilia-driven transport in confined ducts: an active porous media model cites this paper.

Cilia-driven transport in confined ducts: an active porous media model Discrete Exterior Calculus

Reference 55

Resolution
metadata mismatch
local_arxiv, observed 2026-05-22T08:44:46.359465Z

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=arxiv_source observed=2026-05-22T08:44:16.831297Z digest=sha256:93fdf6350207d325a447d3dcebd36d4a1d029e9ed7f3fe4e154dbaf962379278

Observation 6a832151-c3c3-4f9a-aa9a-8af53dfb4939 · inbound

Cellular Sheaf Neural Operators for Structure-Preserving Surrogate Modeling of Constrained PDEs cites this paper.

Cellular Sheaf Neural Operators for Structure-Preserving Surrogate Modeling of Constrained PDEs Discrete Exterior Calculus

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-01T20:46:13.273888Z

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=2026-06-28T18:07:00.768539Z digest=sha256:fa5b227c33946bc9951bca56ef08be2adfe8b7a196d96ceac3d824b5e230fe29

Observation 1e870067-c91c-4ec5-8661-aa27665d5024 · inbound

Topological Neural Operators cites this paper.

Topological Neural Operators Discrete Exterior Calculus

Reference 32

Resolution
verified exact
local_arxiv, observed 2026-07-03T00:17:29.671717Z

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=2026-06-27T17:16:43.215623Z digest=sha256:2c9872338659c9114ac5deaf62db6d925a9e497bb7e89da45f28d97d020164d2

Observation 3df6c8ac-507b-451f-9722-39b497256643 · inbound

A Topological Formula for Potts Lattice Gauge Theory Correlations cites this paper.

A Topological Formula for Potts Lattice Gauge Theory Correlations Discrete Exterior Calculus

Reference 226

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metadata mismatch
local_arxiv, observed 2026-07-03T06:37:42.097859Z

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=arxiv_source observed=2026-07-03T06:35:43.835463Z digest=sha256:65d048d2ca44a592bd3b596d352c45ae6f6ffd8c5fd8f4dd583c36bcf8847cd8

Observation 52ed9d04-0938-4405-b9c9-46c348d27d3b · inbound

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes cites this paper.

Geometry-Induced Hodge Stars on Rips and Dowker--Rips Complexes Discrete Exterior Calculus

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T14:43:05.112918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:43:05.112918Z digest=sha256:86e5531bfb67567b444747732f163367e5911d681c6d5d0f3cdfbd1ec408e411

Observation 9b4b3c95-a650-405c-b867-4dd848c8f6fe · inbound

Data-Driven Diffusion Processes on Differential Forms via the Projected Ambient Connection Laplacian cites this paper.

Data-Driven Diffusion Processes on Differential Forms via the Projected Ambient Connection Laplacian Discrete Exterior Calculus

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T03:30:00.792470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T03:30:00.792470Z digest=sha256:dcf81aecd1a687bfe01828927d1e80716a45d64fde96e19b9add44d5e986e1ab

Observation c4da9ec9-99e5-4603-b8c3-f39ab6c29a3a · inbound

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes cites this paper.

Parallelisation of Discrete Exterior Calculus via Representation Theory on Curved and Three-Dimensional Meshes Discrete Exterior Calculus

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T03:21:10.854988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T03:21:10.854988Z digest=sha256:7e5b92e99069c4158393439849075c43627d6f35142f5f11845dd047ebe978e4

Observation 8d17ad47-b67f-4084-94f1-99f32cae9a91 · inbound

A 100x Faster Beam Propagation Method for Nonlinear Optical Wave Propagation Based on Discrete Exterior Calculus cites this paper.

A 100x Faster Beam Propagation Method for Nonlinear Optical Wave Propagation Based on Discrete Exterior Calculus Discrete Exterior Calculus

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-05T16:31:34.365433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T16:31:34.365433Z digest=sha256:dce58398013944898dd16a2755d711b2f65e25cd322bd3fa3f6090e7ed262480