Pith Number

pith:UPNGFU2H

pith:2018:UPNGFU2H5XAQYEO43DF6TJ77K6

not attested not anchored not stored refs pending

A New Proof and Extension of the Odds-Theorem

Jose Maria Grau ribas

arxiv:1812.09255 v1 · 2018-12-21 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPNGFU2H5XAQYEO43DF6TJ77K6}

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	2026-05-17T23:57:44.966680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3da62d347edc10c11dcd8cbe9a7ff5787f4502bb35f50f1a8ffa7d998e21434

Aliases

arxiv: 1812.09255 · arxiv_version: 1812.09255v1 · doi: 10.48550/arxiv.1812.09255 · pith_short_12: UPNGFU2H5XAQ · pith_short_16: UPNGFU2H5XAQYEO4 · pith_short_8: UPNGFU2H

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/UPNGFU2H5XAQYEO43DF6TJ77K6 \
  | 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: a3da62d347edc10c11dcd8cbe9a7ff5787f4502bb35f50f1a8ffa7d998e21434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eed480c242455d89a4e4c25e8b7ea810cfac4b4ee796c333eeec8a1cc1e881d5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-21T16:51:38Z",
    "title_canon_sha256": "6f6891446df85257e0e5be9f09fa3f336060723130bedc95d44b35e8fe7573d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09255",
    "kind": "arxiv",
    "version": 1
  }
}