pith. sign in
Pith Number

pith:Z7MTLX3O

pith:2012:Z7MTLX3OLLHCDRD7PG6NFNZQ2G
not attested not anchored not stored refs pending

Thermodynamics and concentration

Andreas Maurer

arxiv:1205.1595 v1 · 2012-05-08 · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z7MTLX3OLLHCDRD7PG6NFNZQ2G}

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 2026-05-18T03:56:09.865152Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cfd935df6e5ace21c47f79bcd2b730d1827d0713f981eed97671435f08c19780

Aliases

arxiv: 1205.1595 · arxiv_version: 1205.1595v1 · doi: 10.48550/arxiv.1205.1595 · pith_short_12: Z7MTLX3OLLHC · pith_short_16: Z7MTLX3OLLHCDRD7 · pith_short_8: Z7MTLX3O
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z7MTLX3OLLHCDRD7PG6NFNZQ2G \
  | 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: cfd935df6e5ace21c47f79bcd2b730d1827d0713f981eed97671435f08c19780
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3c368f4571c6499afc9686fb4fb7921b333e9b5a5e2ad47b6c640dedb19355d1",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-05-08T05:58:32Z",
    "title_canon_sha256": "83be862d765437d5f45f394e3b9005905ce688b53141b80727ffddd82ec8569e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1595",
    "kind": "arxiv",
    "version": 1
  }
}