Pith Number

pith:XAVVTO5G

pith:2025:XAVVTO5GILAEOCS5TJ2UTAZBQP

not attested not anchored not stored refs pending

Invariant Image Reparameterisation: Bridging Symbolic and Numerical Methods for Identifiability Analysis, Model Reduction, and Prediction

Joel A. Trent, Joshua Rottenberry, Matthew Simpson, Oliver J. Maclaren, Ruanui Nicholson

When observables depend only on fixed linear combinations after a componentwise transformation, one numerical Jacobian determines the reduced reparameterisation space.

arxiv:2502.04867 v5 · 2025-02-07 · stat.AP

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\usepackage{pith}
\pithnumber{XAVVTO5GILAEOCS5TJ2UTAZBQP}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

When a one-to-one componentwise transformation makes observable behaviour depend only on fixed linear combinations of the transformed parameters, a single numerical Jacobian determines the associated lower-dimensional reparameterisation space.

C2weakest assumption

The model admits a one-to-one componentwise transformation such that observable behaviour depends only on fixed linear combinations of the transformed parameters (abstract, central result paragraph).

C3one line summary

IIR shows that under a one-to-one componentwise transformation where observables depend on fixed linear combinations of transformed parameters, a single numerical Jacobian determines the lower-dimensional reparameterisation space.

Receipt and verification

First computed	2026-05-29T01:04:51.928810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b82b59bba642c0470a5d9a7549832183ef50e22d43ede3709c91367cd8008cbd

Aliases

arxiv: 2502.04867 · arxiv_version: 2502.04867v5 · doi: 10.48550/arxiv.2502.04867 · pith_short_12: XAVVTO5GILAE · pith_short_16: XAVVTO5GILAEOCS5 · pith_short_8: XAVVTO5G

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XAVVTO5GILAEOCS5TJ2UTAZBQP \
  | 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: b82b59bba642c0470a5d9a7549832183ef50e22d43ede3709c91367cd8008cbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d730bef6031c9e0550bd59c6db6e5c2899499867ce111130313ec57fa4a4b05",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2025-02-07T12:13:42Z",
    "title_canon_sha256": "9274190618206f9a15b58762b05f22c1abdc341acc3ea51b7f602ecb0d041896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04867",
    "kind": "arxiv",
    "version": 5
  }
}