Pith Number

pith:K4X7G2YT

pith:2014:K4X7G2YTXWI2H3BCP77TFZ4WZR

not attested not anchored not stored refs pending

Solving the Hard Problem of Bertrand's Paradox

Diederik Aerts, Massimiliano Sassoli de Bianchi

arxiv:1403.4139 v2 · 2014-03-08 · physics.hist-ph · math-ph · math.MP · 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{K4X7G2YTXWI2H3BCP77TFZ4WZR}

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	2026-05-18T01:30:01.344939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572ff36b13bd91a3ec227fff32e796cc5437d8a6b889a1f4afda4d906cdc077f

Aliases

arxiv: 1403.4139 · arxiv_version: 1403.4139v2 · doi: 10.48550/arxiv.1403.4139 · pith_short_12: K4X7G2YTXWI2 · pith_short_16: K4X7G2YTXWI2H3BC · pith_short_8: K4X7G2YT

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/K4X7G2YTXWI2H3BCP77TFZ4WZR \
  | 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: 572ff36b13bd91a3ec227fff32e796cc5437d8a6b889a1f4afda4d906cdc077f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ed97a3dc257a1dca3f19545f3258a692fe105a570a52f7d695a8a5791f73c6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2014-03-08T19:31:30Z",
    "title_canon_sha256": "0d12d5cd3e996527ca8e050a2039a5cf8ba644808c5ddad43a48581dc517348d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4139",
    "kind": "arxiv",
    "version": 2
  }
}