Pith Number

pith:24YMMSEZ

pith:2012:24YMMSEZ6FVP5FH7RXY47F7JGP

not attested not anchored not stored refs pending

Thermodynamic curvature and ensemble nonequivalence

Alessandro Bravetti, Francisco Nettel

arxiv:1208.0399 v3 · 2012-08-02 · math-ph · gr-qc · 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{24YMMSEZ6FVP5FH7RXY47F7JGP}

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	2026-05-18T02:38:46.396647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d730c64899f16afe94ff8df1cf97e933e2a668cbba2ad1dbb6484de71cfcdb79

Aliases

arxiv: 1208.0399 · arxiv_version: 1208.0399v3 · doi: 10.48550/arxiv.1208.0399 · pith_short_12: 24YMMSEZ6FVP · pith_short_16: 24YMMSEZ6FVP5FH7 · pith_short_8: 24YMMSEZ

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/24YMMSEZ6FVP5FH7RXY47F7JGP \
  | 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: d730c64899f16afe94ff8df1cf97e933e2a668cbba2ad1dbb6484de71cfcdb79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7707a2917c28c3c39e63e9ba1c7025a8afe646111bfda650b86e3131998cbde6",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-02T05:04:43Z",
    "title_canon_sha256": "8e9d2ec3bd263e4680a7ff480ba5c8a4b05bf02d174d20e5b886a6d83b9dd752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0399",
    "kind": "arxiv",
    "version": 3
  }
}