Pith Number

pith:SKVMHP5Q

pith:2009:SKVMHP5Q3DPKI4DPLZMF4X72NA

not attested not anchored not stored refs pending

A generalization of the Kullback-Leibler divergence and its properties

Takuya Yamano

arxiv:0902.1898 v2 · 2009-02-11 · 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{SKVMHP5Q3DPKI4DPLZMF4X72NA}

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	2026-05-18T02:14:48.320657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92aac3bfb0d8dea4706f5e585e5ffa680b6ded9fbdfe9f8b79ce0e2b66e4cf32

Aliases

arxiv: 0902.1898 · arxiv_version: 0902.1898v2 · doi: 10.48550/arxiv.0902.1898 · pith_short_12: SKVMHP5Q3DPK · pith_short_16: SKVMHP5Q3DPKI4DP · pith_short_8: SKVMHP5Q

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/SKVMHP5Q3DPKI4DPLZMF4X72NA \
  | 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: 92aac3bfb0d8dea4706f5e585e5ffa680b6ded9fbdfe9f8b79ce0e2b66e4cf32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4544fcb50d70d0008a435b2975b48f3162f2dbad0a135df3ea075d851d098930",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-02-11T14:32:38Z",
    "title_canon_sha256": "cf5b82f78aaa372f929ed57e03598bade918ef40ba3b0f58b1a407380e227d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1898",
    "kind": "arxiv",
    "version": 2
  }
}