Pith Number

pith:4MU25YKB

pith:2015:4MU25YKBZMOMH6VJ3ICS5D7R5N

not attested not anchored not stored refs pending

The stumbling block of the Gibbs entropy: the reality of the negative absolute temperatures

Dragos-Victor Anghel

arxiv:1509.08020 v1 · 2015-09-26 · 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{4MU25YKBZMOMH6VJ3ICS5D7R5N}

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	2026-05-18T01:18:42.839790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e329aee141cb1cc3faa9da052e8ff1eb4dbc527f525111821e5a7a2281a35ada

Aliases

arxiv: 1509.08020 · arxiv_version: 1509.08020v1 · doi: 10.48550/arxiv.1509.08020 · pith_short_12: 4MU25YKBZMOM · pith_short_16: 4MU25YKBZMOMH6VJ · pith_short_8: 4MU25YKB

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/4MU25YKBZMOMH6VJ3ICS5D7R5N \
  | 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: e329aee141cb1cc3faa9da052e8ff1eb4dbc527f525111821e5a7a2281a35ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b54eb65e0b0d2357853b38b690ce2289309885bfa22599028e1cf63da70e5a2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-09-26T19:22:41Z",
    "title_canon_sha256": "5bd9740b6258cc95d30c63e953041dfcf3f38ce015a17834856c96d11423b9e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08020",
    "kind": "arxiv",
    "version": 1
  }
}