Pith Number

pith:VBWK2LLM

pith:2013:VBWK2LLM6TZLKM7NYEAS5T6YDL

not attested not anchored not stored refs pending

Bayesian machine learning via category theory

Jared Culbertson, Kirk Sturtz

arxiv:1312.1445 v1 · 2013-12-05 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBWK2LLM6TZLKM7NYEAS5T6YDL}

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	2026-05-18T03:05:27.323225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86cad2d6cf4f2b533edc1012ecfd81af4cc3aef63bd2ab3092f7b5fa9aab932

Aliases

arxiv: 1312.1445 · arxiv_version: 1312.1445v1 · doi: 10.48550/arxiv.1312.1445 · pith_short_12: VBWK2LLM6TZL · pith_short_16: VBWK2LLM6TZLKM7N · pith_short_8: VBWK2LLM

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/VBWK2LLM6TZLKM7NYEAS5T6YDL \
  | 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: a86cad2d6cf4f2b533edc1012ecfd81af4cc3aef63bd2ab3092f7b5fa9aab932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f275cf10cff026a063fae496d280b639f8efa9c6c80e82e4f1d1cae4f4023c6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-12-05T06:38:05Z",
    "title_canon_sha256": "8354c5130d94efb2d6716d223607b048f2868f999611d18988d59bdaffb61900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1445",
    "kind": "arxiv",
    "version": 1
  }
}