Pith Number

pith:Q37OE2HV

pith:2015:Q37OE2HVFUYUB6Z3O6O3U5PCGJ

not attested not anchored not stored refs pending

Boltzmann vs Gibbs: a finite-size match

Loris Ferrari

arxiv:1501.04566 v4 · 2015-01-19 · 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{Q37OE2HVFUYUB6Z3O6O3U5PCGJ}

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	2026-05-18T01:34:37.935226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86fee268f52d3140fb3b779dba75e2326325f357afcb334bcdf4f2cf9b34f0a1

Aliases

arxiv: 1501.04566 · arxiv_version: 1501.04566v4 · doi: 10.48550/arxiv.1501.04566 · pith_short_12: Q37OE2HVFUYU · pith_short_16: Q37OE2HVFUYUB6Z3 · pith_short_8: Q37OE2HV

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/Q37OE2HVFUYUB6Z3O6O3U5PCGJ \
  | 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: 86fee268f52d3140fb3b779dba75e2326325f357afcb334bcdf4f2cf9b34f0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c855eca3ea7e2c295c357a8b62807ef98b7749f2446eb4bcbe631e46d646a676",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-01-19T17:24:42Z",
    "title_canon_sha256": "4136f775448764136519c201f949c3692d4ac0f786d00f1db2c59d6d96219aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04566",
    "kind": "arxiv",
    "version": 4
  }
}