Pith Number

pith:JBGG3N2A

pith:2012:JBGG3N2ARL3LZ32OC54RYKZRLT

not attested not anchored not stored refs pending

Entropy functions and determinant inequalities

Dongning Guo, Raymond Yeung, Terence Chan

arxiv:1201.5241 v1 · 2012-01-25 · cs.IT · 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{JBGG3N2ARL3LZ32OC54RYKZRLT}

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	2026-05-18T04:03:55.244740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

484c6db7408af6bcef4e17791c2b315ce5178b23a51ca5a5ad15bab732bedc68

Aliases

arxiv: 1201.5241 · arxiv_version: 1201.5241v1 · doi: 10.48550/arxiv.1201.5241 · pith_short_12: JBGG3N2ARL3L · pith_short_16: JBGG3N2ARL3LZ32O · pith_short_8: JBGG3N2A

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/JBGG3N2ARL3LZ32OC54RYKZRLT \
  | 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: 484c6db7408af6bcef4e17791c2b315ce5178b23a51ca5a5ad15bab732bedc68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4d97ef94cfd243ee61daa68d8539c995a8d706b84a3c6c2e2f7dfe3c35435ca",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-25T11:51:34Z",
    "title_canon_sha256": "993814440240bbe728252564c1c4a38e6ed9f2af3a8ac0fb9dffaca7b4f3de3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5241",
    "kind": "arxiv",
    "version": 1
  }
}