Pith Number

pith:3X3LXFEO

pith:2017:3X3LXFEOTITFFT6IKCJ2NILNNH

not attested not anchored not stored refs pending

How to Find a Joint Probability Distribution of Minimum Entropy (almost) given the Marginals

Ferdinando Cicalese, Luisa Gargano, Ugo Vaccaro

arxiv:1701.05243 v3 · 2017-01-18 · cs.IT · cs.DS · 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{3X3LXFEOTITFFT6IKCJ2NILNNH}

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	2026-05-18T00:47:48.383875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf6bb948e9a2652cfc85093a6a16d69fc43b9f8b6c11a2a987382e1c1c4ba65

Aliases

arxiv: 1701.05243 · arxiv_version: 1701.05243v3 · doi: 10.48550/arxiv.1701.05243 · pith_short_12: 3X3LXFEOTITF · pith_short_16: 3X3LXFEOTITFFT6I · pith_short_8: 3X3LXFEO

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/3X3LXFEOTITFFT6IKCJ2NILNNH \
  | 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: ddf6bb948e9a2652cfc85093a6a16d69fc43b9f8b6c11a2a987382e1c1c4ba65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e6df7cababe0978aea96469475aaf7d91ea38d0128e47598a6c6fb4e92de72c",
    "cross_cats_sorted": [
      "cs.DS",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-01-18T21:55:45Z",
    "title_canon_sha256": "3225fedc205f309864acd6c81c97612e04eeaa2471a8a2365bbc0256f9127ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05243",
    "kind": "arxiv",
    "version": 3
  }
}