Pith Number

pith:VHVWFME5

pith:2023:VHVWFME57CEJ7ZGHPABD6PCDYF

not attested not anchored not stored refs pending

Stochastic Nash evolution

Dominik Inauen, Govind Menon

arxiv:2312.06541 v2 · 2023-12-11 · math.PR · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHVWFME57CEJ7ZGHPABD6PCDYF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Cited by

1 paper in Pith

The geometry of the deep linear network

Receipt and verification

First computed	2026-07-05T08:11:56.260374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9eb62b09df8889fe4c778023f3c43c1781bdb0b17ad78c030725385c29e24ff

Aliases

arxiv: 2312.06541 · arxiv_version: 2312.06541v2 · doi: 10.48550/arxiv.2312.06541 · pith_short_12: VHVWFME57CEJ · pith_short_16: VHVWFME57CEJ7ZGH · pith_short_8: VHVWFME5

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/VHVWFME57CEJ7ZGHPABD6PCDYF \
  | 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: a9eb62b09df8889fe4c778023f3c43c1781bdb0b17ad78c030725385c29e24ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef4ca98e4fb8f7c712ecc4f82680c0146cf98a0002f51f6a611e3448b26a20c4",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-12-11T17:22:12Z",
    "title_canon_sha256": "bf4f702271d6350d349704862caec99cc9aea36822ad8609c3c1ab109cf7a639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.06541",
    "kind": "arxiv",
    "version": 2
  }
}