Pith Number

pith:46CBZXWC

pith:2011:46CBZXWCSJERK5DEQDEWFY626K

not attested not anchored not stored refs pending

When do generalized entropies apply? How phase space volume determines entropy

Rudolf Hanel, Stefan Thurner

arxiv:1104.2064 v1 · 2011-04-11 · 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{46CBZXWCSJERK5DEQDEWFY626K}

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	2026-05-18T02:02:35.112405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7841cdec2924915746480c962e3daf28a6b1da751ea715d62633022c345c6c5

Aliases

arxiv: 1104.2064 · arxiv_version: 1104.2064v1 · doi: 10.48550/arxiv.1104.2064 · pith_short_12: 46CBZXWCSJER · pith_short_16: 46CBZXWCSJERK5DE · pith_short_8: 46CBZXWC

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/46CBZXWCSJERK5DEQDEWFY626K \
  | 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: e7841cdec2924915746480c962e3daf28a6b1da751ea715d62633022c345c6c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e692b4640eb56f4c436b135c4db9310c36820e6105d3661f59e8861882f866f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-04-11T21:05:58Z",
    "title_canon_sha256": "17cd20bdde329bf01a9f087b0726b075c2ecc5dab3b1a60c3f47ef264b84d21b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2064",
    "kind": "arxiv",
    "version": 1
  }
}