Pith Number

pith:4GWWMXNQ

pith:2026:4GWWMXNQO36E62T5CNFOBU2LQB

not attested not anchored not stored refs resolved

When do trajectories matter? Identifiability analysis for stochastic transport phenomena

Matthew J Simpson, Michael J Plank

Collecting individual trajectories resolves structural non-identifiability in stochastic diffusion models when count data alone fails.

arxiv:2604.15598 v2 · 2026-04-17 · nlin.CG · q-bio.QM · stat.AP

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\pithnumber{4GWWMXNQO36E62T5CNFOBU2LQB}

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

working with count data alone can sometimes lead to challenges involving structural non-identifiability that can be alleviated by collecting trajectory data

C2weakest assumption

The analysis assumes that the lattice-based random walk model accurately represents the underlying stochastic transport phenomena and that the mean-field PDE approximations are valid for the parameter regimes considered.

C3one line summary

Trajectory data resolves structural non-identifiability in lattice random walk diffusion models that count data alone cannot, with analysis of experimental design impacts on practical identifiability.

References

78 extracted · 78 resolved · 1 Pith anchors

[1] Introduction to Econophysics: Correlations and Complexity in Finance 1999 · doi:10.1017/cbo9780511755767

[2] Cambri dge University Press, Cambridge (2001) 2001 · doi:10.1017/cbo9780511606014

[3] An Introduction , 3rd edn 2002 · doi:10.1007/b98868

[4] Random Walks in Biology 1983

[5] Random walk models in biology 2008 · doi:10.1098/rsif.2008.0014

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Identifiability Limits of Physics-Informed Inference for Spatial Stochastic Dynamics from Static Snapshots

Receipt and verification

First computed	2026-05-20T00:00:38.215621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ad665db076fc4f6a7d134ae0d34b807d03eaaeba58e0419cd8e03c7bf7d3f4

Aliases

arxiv: 2604.15598 · arxiv_version: 2604.15598v2 · doi: 10.48550/arxiv.2604.15598 · pith_short_12: 4GWWMXNQO36E · pith_short_16: 4GWWMXNQO36E62T5 · pith_short_8: 4GWWMXNQ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4GWWMXNQO36E62T5CNFOBU2LQB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e1ad665db076fc4f6a7d134ae0d34b807d03eaaeba58e0419cd8e03c7bf7d3f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d98a770625bf36b1393ba6c8689c1add5d461e1222d129e7a08039382002534",
    "cross_cats_sorted": [
      "q-bio.QM",
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.CG",
    "submitted_at": "2026-04-17T00:37:47Z",
    "title_canon_sha256": "4b02f6939c60e0b941c5a11ef0b4bbf6a04c03d0e4c66831344647257643bb0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.15598",
    "kind": "arxiv",
    "version": 2
  }
}