Pith Number

pith:PUGTPGMI

pith:2014:PUGTPGMIR5HOIHHVDLYSKSBPRP

not attested not anchored not stored refs pending

Gibbs, Boltzmann, and negative temperatures

Daan Frenkel, Patrick B Warren

arxiv:1403.4299 v3 · 2014-03-17 · 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{PUGTPGMIR5HOIHHVDLYSKSBPRP}

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.

Cited by

1 paper in Pith

Black holes of multiple horizons without mass inflation

Receipt and verification

First computed	2026-05-18T02:29:01.603503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d0d3799888f4ee41cf51af125482f8bd50afa85df62703fe6809605ef2f5801

Aliases

arxiv: 1403.4299 · arxiv_version: 1403.4299v3 · doi: 10.48550/arxiv.1403.4299 · pith_short_12: PUGTPGMIR5HO · pith_short_16: PUGTPGMIR5HOIHHV · pith_short_8: PUGTPGMI

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/PUGTPGMIR5HOIHHVDLYSKSBPRP \
  | 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: 7d0d3799888f4ee41cf51af125482f8bd50afa85df62703fe6809605ef2f5801

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8862f1c45ad2cb60132e20edd6ad02a0b4fa3fa892fd8fe233bb5a65b906d8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-03-17T22:51:51Z",
    "title_canon_sha256": "10a003aadb4585f480632d1cc949ce9fb83027872a49cf0222ac260bf13f8234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4299",
    "kind": "arxiv",
    "version": 3
  }
}