Pith Number

pith:FOY4MO32

pith:2021:FOY4MO32YFB7VCS7OCGIMGVJD4

not attested not anchored not stored refs pending

De Finetti's Theorem in Categorical Probability

Paolo Perrone, Tobias Fritz, Tom\'a\v{s} Gonda

arxiv:2105.02639 v3 · 2021-05-06 · math.PR · cs.LO · math.CT · 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{FOY4MO32YFB7VCS7OCGIMGVJD4}

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.

Cited by

2 papers in Pith

Completeness for Probabilistic Boolean Tapes

Approaching the Continuous from the Discrete: an Infinite Tensor Product Construction

Receipt and verification

First computed	2026-07-05T03:29:16.207978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bb1c63b7ac143fa8a5f708c861aa91f1a2f314a31e69086e38f7ce48c03e47e

Aliases

arxiv: 2105.02639 · arxiv_version: 2105.02639v3 · doi: 10.48550/arxiv.2105.02639 · pith_short_12: FOY4MO32YFB7 · pith_short_16: FOY4MO32YFB7VCS7 · pith_short_8: FOY4MO32

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/FOY4MO32YFB7VCS7OCGIMGVJD4 \
  | 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: 2bb1c63b7ac143fa8a5f708c861aa91f1a2f314a31e69086e38f7ce48c03e47e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0344348dc996e3067b3a5946f898c620409017c473027158002af69ea4c4a58d",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-05-06T13:19:07Z",
    "title_canon_sha256": "904d127ae96e51b567ba65493d67682cfb01808a119f0914e31690bfcc7998ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.02639",
    "kind": "arxiv",
    "version": 3
  }
}