Pith Number

pith:2QTUQMPS

pith:2009:2QTUQMPSPKG4LWUEY4MX4J4FXB

not attested not anchored not stored refs pending

Unified (r,s)-relative entropy

Wang Jiamei, Wu Junde

arxiv:0911.5174 v3 · 2009-11-26 · 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{2QTUQMPSPKG4LWUEY4MX4J4FXB}

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	2026-05-18T00:31:00.820909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4274831f27a8dc5da84c7197e2785b843fef7e9d6eb5af91f69cde7f3398c15

Aliases

arxiv: 0911.5174 · arxiv_version: 0911.5174v3 · doi: 10.48550/arxiv.0911.5174 · pith_short_12: 2QTUQMPSPKG4 · pith_short_16: 2QTUQMPSPKG4LWUE · pith_short_8: 2QTUQMPS

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/2QTUQMPSPKG4LWUEY4MX4J4FXB \
  | 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: d4274831f27a8dc5da84c7197e2785b843fef7e9d6eb5af91f69cde7f3398c15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7847a0b89588103231312a504c03ffda9d6c51b97a96013685df5ecf6b8100bd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-11-26T23:33:04Z",
    "title_canon_sha256": "910d4a484afbbed94952c6d1817e7f716110c87fa0ddd15feca70056178ee97f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5174",
    "kind": "arxiv",
    "version": 3
  }
}