Pith Number

pith:S2OSD3UJ

pith:2012:S2OSD3UJT2NEMMEAJUBE6CIZEU

not attested not anchored not stored refs pending

Analytical Mechanics in Stochastic Dynamics: Most Probable Path, Large-Deviation Rate Function and Hamilton-Jacobi Equation

Hao Ge, Hong Qian

arxiv:1205.6052 v1 · 2012-05-28 · math-ph · cond-mat.stat-mech · math.DS · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2OSD3UJT2NEMMEAJUBE6CIZEU}

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.

Receipt and verification

First computed	2026-05-18T03:46:34.451620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

969d21ee899e9a4630804d024f0919252ce9752aed7a1e7093ae35fd8f7b74fd

Aliases

arxiv: 1205.6052 · arxiv_version: 1205.6052v1 · doi: 10.48550/arxiv.1205.6052 · pith_short_12: S2OSD3UJT2NE · pith_short_16: S2OSD3UJT2NEMMEA · pith_short_8: S2OSD3UJ

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/S2OSD3UJT2NEMMEAJUBE6CIZEU \
  | 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: 969d21ee899e9a4630804d024f0919252ce9752aed7a1e7093ae35fd8f7b74fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05428ffc880f0e86edb972cf2517c6f179cdb14c5a9d3ef538d3febd3d9ff0d8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.DS",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-28T08:39:58Z",
    "title_canon_sha256": "f57e3863baacfec0ab1bb5addd3a0ff3fc170546009246430fc0f7d2d846e46c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6052",
    "kind": "arxiv",
    "version": 1
  }
}