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Paper Citation Record · LEDGER

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields

As of 18 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2504.16713.

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

pith.paper-citation-record.v1
2504.16713 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:03:07.884196Z

measured 29 of 29 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 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

29 of 29 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 12a5aef6-0a16-4fec-88f9-9845c6a63a16 · outbound

This paper cites an unresolved cited work.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 1

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Observation 2f449e2d-524f-4cc4-89f3-0eaa168247ab · outbound

This paper cites Ghavamian, A.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Ghavamian, A

Reference 2

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Observation 703de9f1-ce10-4e47-962f-87d1d46d1905 · outbound

This paper cites Raissi, P.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Raissi, P

Reference 3

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Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 4

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Observation a1be24b3-9b67-4e70-898c-466c55cc8151 · outbound

This paper cites an unresolved cited work.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 5

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Source-reported events for the cited work

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Observation b6d97930-74ef-488d-aaee-ac91dc63b319 · outbound

This paper cites A review on data-driven constitutive laws for solids.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields A review on data-driven constitutive laws for solids

Reference 6

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This paper cites an unresolved cited work.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 7

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Source-reported events for the cited work

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Observation 842390d6-3218-45a5-849e-ac9346271b72 · outbound

This paper cites Physically recurrent neural networks for path-dependent heterogeneous materials: embedding constitutive models in a data-driven surrogate.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Physically recurrent neural networks for path-dependent heterogeneous materials: embedding constitutive models in a data-driven surrogate

Reference 8

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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.

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Observation ba9db5a3-d3cb-45d9-86d9-96df6aff1a4a · outbound

This paper cites Nonlinear electro-elastic finite element analysis with neural network constitutive models.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Nonlinear electro-elastic finite element analysis with neural network constitutive models

Reference 9

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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.

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Observation 4d8509c7-cccb-42b5-b9b0-5536812979fa · outbound

This paper cites Dornheim, L.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Dornheim, L

Reference 10

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

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Observation 7b393669-829f-4d72-95e1-9be3a354a757 · outbound

This paper cites Rocha, P.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Rocha, P

Reference 11

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Observation 75e06e47-e9d2-4893-813e-de92008f1fe8 · outbound

This paper cites an unresolved cited work.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 12

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Source-reported events for the cited work

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This paper cites an unresolved cited work.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 13

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Source-reported events for the cited work

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Observation 7f269b7f-24f5-4e68-bd84-c9b7a63b91c8 · outbound

This paper cites Fritzen, M.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Fritzen, M

Reference 14

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Observation c8042d7c-2346-4e0f-a116-fd5361b885f0 · outbound

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Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 15

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Observation 17e1a08d-88c2-4a98-8ca6-975048881dfe · outbound

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Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 16

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Observation 7087cb83-e4c4-40e1-8056-c0aec82ff9ac · outbound

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Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 17

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Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 18

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Source-reported events for the cited work

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This paper cites Chen, Phase-field models for microstructure evolution, Annual review of materials research 32 (1) (2002) 113–140.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Chen, Phase-field models for microstructure evolution, Annual review of materials research 32 (1) (2002) 113–140

Reference 19

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Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 20

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Source-reported events for the cited work

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Observation 260ace7d-ac81-4002-9294-5985f6c23011 · outbound

This paper cites Gerasimov, L.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Gerasimov, L

Reference 21

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This paper cites Luo, Fast staggered schemes for the phase-field model of brittle fracture based on the fixed-stress concept, Computer Methods in Applied Mechanics and Engineering 404 (2023) 115787.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Luo, Fast staggered schemes for the phase-field model of brittle fracture based on the fixed-stress concept, Computer Methods in Applied Mechanics and Engineering 404 (2023) 115787

Reference 22

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Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 23

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Unavailable: canonical work link unavailable.

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Observation b243c1b3-5964-4c09-a8d7-37a2957d5c13 · outbound

This paper cites Rocha, Numerical and experimental investigation of hygrothermal aging in laminated composites (2019).

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Rocha, Numerical and experimental investigation of hygrothermal aging in laminated composites (2019)

Reference 24

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Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Unresolved cited work

Reference 25

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation da59fc11-81c5-43dd-a013-960ce310e18b · outbound

This paper cites Bleyer, dolfinx materials: A Python package for advanced material modelling (Oct.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Bleyer, dolfinx materials: A Python package for advanced material modelling (Oct

Reference 26

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Source-reported events for the cited work

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Observation 6a4644ee-70cc-45c6-8882-492cfc32253f · outbound

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Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Balay, S

Reference 27

Resolution
verified fuzzy
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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.

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Observation 278f0ca4-86e0-480d-a7c5-7d85ad8891b2 · outbound

This paper cites Goswami, C.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Goswami, C

Reference 28

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verified fuzzy
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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.

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Observation c2e38a10-0194-474e-9f1e-0b31d74c702a · outbound

This paper cites Williams, C.

Mixing Data-Driven and Physics-Based Constitutive Models using Uncertainty-Driven Phase Fields Williams, C

Reference 29

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Source-reported events for the cited work

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