Pith Number

pith:DC67IQZU

pith:2012:DC67IQZULP47HJQH2WV7IWCQBL

not attested not anchored not stored refs pending

Time-reversal symmetry relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation

Pierre Gaspard

arxiv:1206.0639 v1 · 2012-06-04 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DC67IQZULP47HJQH2WV7IWCQBL}

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	2026-05-18T01:57:08.218357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18bdf443345bf9f3a607d5abf458500aec58b2996b15cacca0c99f8957c3745c

Aliases

arxiv: 1206.0639 · arxiv_version: 1206.0639v1 · doi: 10.48550/arxiv.1206.0639 · pith_short_12: DC67IQZULP47 · pith_short_16: DC67IQZULP47HJQH · pith_short_8: DC67IQZU

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/DC67IQZULP47HJQH2WV7IWCQBL \
  | 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: 18bdf443345bf9f3a607d5abf458500aec58b2996b15cacca0c99f8957c3745c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d256c654d8f8411dcf181873840fd728def4bb5387a0939163d09702fecfea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-06-04T14:51:49Z",
    "title_canon_sha256": "23e604ed4297ad6ec52fc0e7ce97f2d02277fca7615c4489ec25c730cf74cbf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0639",
    "kind": "arxiv",
    "version": 1
  }
}