Pith Number

pith:QZR5K26P

pith:2006:QZR5K26PLOWX3YPTMZAEUJR7EZ

not attested not anchored not stored refs pending

Thermodynamics in Terms of a Sequence of $n-$chains Derived from a Martingale Decomposition of the Energy Process

David Ford

arxiv:cond-mat/0601716 v1 · 2006-01-31 · cond-mat.stat-mech · cond-mat.other · math-ph · math.MP · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZR5K26PLOWX3YPTMZAEUJR7EZ}

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	2026-07-04T14:52:40.603119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8663d56bcf5bad7de1f366404a263f267211a4c0ce28887d4953e90dd40860b2

Aliases

arxiv: cond-mat/0601716 · arxiv_version: cond-mat/0601716v1 · doi: 10.48550/arxiv.cond-mat/0601716 · pith_short_12: QZR5K26PLOWX · pith_short_16: QZR5K26PLOWX3YPT · pith_short_8: QZR5K26P

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/QZR5K26PLOWX3YPTMZAEUJR7EZ \
  | 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: 8663d56bcf5bad7de1f366404a263f267211a4c0ce28887d4953e90dd40860b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa307e684e09534397a033574af74cabc87f73630d9bc69a6a7a76a39c9037a1",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP",
      "physics.data-an"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2006-01-31T21:01:44Z",
    "title_canon_sha256": "33c7a2a551793ae0d0d0ec47b57c186a418076e58aab94eb490301a785242582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0601716",
    "kind": "arxiv",
    "version": 1
  }
}