Pith Number

pith:OT354PMB

pith:2010:OT354PMBQLUNPZDKKMM6LPRVHG

not attested not anchored not stored refs pending

Displacement convexity of generalized relative entropies

Asuka Takatsu, Shin-ichi Ohta

arxiv:1005.1331 v3 · 2010-05-08 · math.DG · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OT354PMBQLUNPZDKKMM6LPRVHG}

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	2026-05-18T04:18:54.697788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74f7de3d8182e8d7e46a5319e5be35399de0996eed2799b31aab9a5159a0dc3a

Aliases

arxiv: 1005.1331 · arxiv_version: 1005.1331v3 · doi: 10.48550/arxiv.1005.1331 · pith_short_12: OT354PMBQLUN · pith_short_16: OT354PMBQLUNPZDK · pith_short_8: OT354PMB

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/OT354PMBQLUNPZDKKMM6LPRVHG \
  | 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: 74f7de3d8182e8d7e46a5319e5be35399de0996eed2799b31aab9a5159a0dc3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19768dcc687feb5ced4a5dc781274a46103e03b06330a408eaef7a91ec571f7",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-08T11:43:18Z",
    "title_canon_sha256": "74b2f1f7e01dfa71e34f003d22bb58343f6696aa4b99b57bc999c9e86e5c32d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1331",
    "kind": "arxiv",
    "version": 3
  }
}