Pith Number

pith:RAVM5TE3

pith:2009:RAVM5TE3ZYFIVQPKHKZBRH7PPZ

not attested not anchored not stored refs pending

Metric adjusted skew information: Convexity and restricted forms of superadditivity

Frank Hansen, Liang Cai

arxiv:0907.5338 v3 · 2009-07-30 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAVM5TE3ZYFIVQPKHKZBRH7PPZ}

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	2026-05-18T03:44:24.898715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

882acecc9bce0a8ac1ea3ab2189fef7e543e4fd001a71be7d22e8cdb74191c61

Aliases

arxiv: 0907.5338 · arxiv_version: 0907.5338v3 · doi: 10.48550/arxiv.0907.5338 · pith_short_12: RAVM5TE3ZYFI · pith_short_16: RAVM5TE3ZYFIVQPK · pith_short_8: RAVM5TE3

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/RAVM5TE3ZYFIVQPKHKZBRH7PPZ \
  | 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: 882acecc9bce0a8ac1ea3ab2189fef7e543e4fd001a71be7d22e8cdb74191c61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64c91f26aa9bd3524cbd6411574aaa919579425a75ba12b66438a9c8cea279b9",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-30T13:20:57Z",
    "title_canon_sha256": "5c258fe3aa788e02d2db69b13a5a3e933c190470df39943640c2ae2198f31efd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5338",
    "kind": "arxiv",
    "version": 3
  }
}