Pith Number

pith:3RHOINRL

pith:2011:3RHOINRLBIOMS3TM3YAPBMOPSK

not attested not anchored not stored refs pending

Entropic Inequalities and Marginal Problems

Rafael Chaves, Tobias Fritz

arxiv:1112.4788 v2 · 2011-12-20 · cs.IT · math.IT · math.PR · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3RHOINRLBIOMS3TM3YAPBMOPSK}

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	2026-05-18T03:35:38.687905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc4ee4362b0a1cc96e6cde00f0b1cf92bd7abb219423a08c89b9d7017dcfd72a

Aliases

arxiv: 1112.4788 · arxiv_version: 1112.4788v2 · doi: 10.48550/arxiv.1112.4788 · pith_short_12: 3RHOINRLBIOM · pith_short_16: 3RHOINRLBIOMS3TM · pith_short_8: 3RHOINRL

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/3RHOINRLBIOMS3TM3YAPBMOPSK \
  | 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: dc4ee4362b0a1cc96e6cde00f0b1cf92bd7abb219423a08c89b9d7017dcfd72a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7fa1b1ed7b339c23876eb222cf7312782145b32189cff1d6a34e8deb38edfa3",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-12-20T18:21:54Z",
    "title_canon_sha256": "699360758d5a9ede5dab15104ac7a696d290c95d6c897b6ad8ff7ba8a167a1c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4788",
    "kind": "arxiv",
    "version": 2
  }
}