Pith Number

pith:Y3H5GNQ5

pith:2012:Y3H5GNQ5PABHDT3QKE2PFQN3EE

not attested not anchored not stored refs pending

Conditional Information Inequalities for Entropic and Almost Entropic Points

Andrei Romashchenko, Tarik Kaced

arxiv:1207.5742 v4 · 2012-07-24 · cs.IT · cs.DM · math.IT · 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{Y3H5GNQ5PABHDT3QKE2PFQN3EE}

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	2026-05-18T03:08:38.469655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6cfd3361d780271cf705134f2c1bb210a9762d2c6783737daf3748975f27549

Aliases

arxiv: 1207.5742 · arxiv_version: 1207.5742v4 · doi: 10.48550/arxiv.1207.5742 · pith_short_12: Y3H5GNQ5PABH · pith_short_16: Y3H5GNQ5PABHDT3Q · pith_short_8: Y3H5GNQ5

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/Y3H5GNQ5PABHDT3QKE2PFQN3EE \
  | 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: c6cfd3361d780271cf705134f2c1bb210a9762d2c6783737daf3748975f27549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072cab1889cc9049cc410a39d01aa607ea4b8cb895291cb47e10ec158b89e431",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-07-24T16:31:05Z",
    "title_canon_sha256": "82f8424033cb1b55c2691788f34dd4cc8e787c55c3f2a20b8ccd24e94ef49d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5742",
    "kind": "arxiv",
    "version": 4
  }
}