Pith Number

pith:YKVGCLU4

pith:2015:YKVGCLU4W7ZD3UY474RGBE3T6N

not attested not anchored not stored refs pending

How to reconcile Information theory and Gibbs-Herz entropy for inverted populated systems

Alessandro Pecchia, Alessio Gagliardi

arxiv:1503.02824 v1 · 2015-03-10 · physics.class-ph · 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{YKVGCLU4W7ZD3UY474RGBE3T6N}

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	2026-05-18T02:25:13.016928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2aa612e9cb7f23dd31cff22609373f34ebf88bc0b85c0e28b70403eec625f37

Aliases

arxiv: 1503.02824 · arxiv_version: 1503.02824v1 · doi: 10.48550/arxiv.1503.02824 · pith_short_12: YKVGCLU4W7ZD · pith_short_16: YKVGCLU4W7ZD3UY4 · pith_short_8: YKVGCLU4

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/YKVGCLU4W7ZD3UY474RGBE3T6N \
  | 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: c2aa612e9cb7f23dd31cff22609373f34ebf88bc0b85c0e28b70403eec625f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4fae51b2dec80055877e83b681803408d3dd32082453dd296ab7f23a0f7f989",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2015-03-10T09:18:55Z",
    "title_canon_sha256": "ad843173758209e80824d8370b850b43440415d6bf7e006751d1ce56feca5644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02824",
    "kind": "arxiv",
    "version": 1
  }
}