Pith Number

pith:3BP55SKV

pith:2017:3BP55SKVDWTEPVPYUVQ4IRVWJS

not attested not anchored not stored refs pending

Perturbative Expansion of Irreversible Work in Fokker-Planck Equation a la Quantum Mechanics

T. Koide

arxiv:1701.01716 v4 · 2017-01-06 · cond-mat.stat-mech · math-ph · math.MP · nucl-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BP55SKVDWTEPVPYUVQ4IRVWJS}

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	2026-05-18T00:40:19.350096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d85fdec9551da647d5f8a561c446b64c95e221cb874b27b37bd11254548928b2

Aliases

arxiv: 1701.01716 · arxiv_version: 1701.01716v4 · doi: 10.48550/arxiv.1701.01716 · pith_short_12: 3BP55SKVDWTE · pith_short_16: 3BP55SKVDWTEPVPY · pith_short_8: 3BP55SKV

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/3BP55SKVDWTEPVPYUVQ4IRVWJS \
  | 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: d85fdec9551da647d5f8a561c446b64c95e221cb874b27b37bd11254548928b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77945a57184b3250acefda6979528e512eab1081cdbab312f11516621754ff26",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nucl-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2017-01-06T18:25:36Z",
    "title_canon_sha256": "1ff2db59c0ca83740cd8fdd9ce01098a5b587a8743fad7949f0046d8da19254f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01716",
    "kind": "arxiv",
    "version": 4
  }
}