Pith Number

pith:JZGKMLTL

pith:2010:JZGKMLTLTS3KHVLLBLM7AIROTI

not attested not anchored not stored refs pending

Dually flat structure with escort probability and its application to alpha-Voronoi diagrams

Atsumi Ohara, Hiroshi Matsuzoe, Shun-ichi Amari

arxiv:1010.4965 v1 · 2010-10-24 · cond-mat.stat-mech · cs.IT · math.DG · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZGKMLTLTS3KHVLLBLM7AIROTI}

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	2026-05-18T04:38:49.705272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4ca62e6b9cb6a3d56b0ad9f0222e9a3252aebfee2bbff8a60461671cb775a7

Aliases

arxiv: 1010.4965 · arxiv_version: 1010.4965v1 · doi: 10.48550/arxiv.1010.4965 · pith_short_12: JZGKMLTLTS3K · pith_short_16: JZGKMLTLTS3KHVLL · pith_short_8: JZGKMLTL

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/JZGKMLTLTS3KHVLLBLM7AIROTI \
  | 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: 4e4ca62e6b9cb6a3d56b0ad9f0222e9a3252aebfee2bbff8a60461671cb775a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f850169d4cd8407f3887f4ac0ed7a8fd64064d497da3d8fa8481d041eaf03c",
    "cross_cats_sorted": [
      "cs.IT",
      "math.DG",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-10-24T14:26:56Z",
    "title_canon_sha256": "0c870c90ecf9effcb42010359cbc50a25c9cf136fc735a9bf5ddf7e3baad93ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4965",
    "kind": "arxiv",
    "version": 1
  }
}