Pith Number

pith:N56L5VWH

pith:2013:N56L5VWHI4OYK6TG7SXOYLS3CJ

not attested not anchored not stored refs pending

What does the proof of Birnbaum's theorem prove?

Michael Evans

arxiv:1302.5468 v1 · 2013-02-22 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N56L5VWHI4OYK6TG7SXOYLS3CJ}

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	2026-07-05T06:35:40.518384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7cbed6c7471d857a66fcaeec2e5b124394153d9b7f3b0a875faca78e4eb5c5

Aliases

arxiv: 1302.5468 · arxiv_version: 1302.5468v1 · doi: 10.48550/arxiv.1302.5468 · pith_short_12: N56L5VWHI4OY · pith_short_16: N56L5VWHI4OYK6TG · pith_short_8: N56L5VWH

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/N56L5VWHI4OYK6TG7SXOYLS3CJ \
  | 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: 6f7cbed6c7471d857a66fcaeec2e5b124394153d9b7f3b0a875faca78e4eb5c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e33c9eb5640b75aeb2018eecfc0c8b24d145fe494051dca979c612f212e02da",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-02-22T03:03:47Z",
    "title_canon_sha256": "3d1871cfabb2144ee05480fe05f10244ec71b6f735a39a40ae745ef3dd11494d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5468",
    "kind": "arxiv",
    "version": 1
  }
}