Pith Number

pith:FN7CI4IT

pith:2013:FN7CI4ITEY7FINLRU5EC4KIZ56

not attested not anchored not stored refs pending

Homotopy Probability Theory I

Gabriel C. Drummond-Cole, Jae-Suk Park, John Terilla

arxiv:1302.3684 v3 · 2013-02-15 · math.PR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FN7CI4ITEY7FINLRU5EC4KIZ56}

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	2026-05-18T03:10:37.051883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b7e247113263e543571a7482e2919ef9fa506a71a2a9dd1c0d797879a0cf168

Aliases

arxiv: 1302.3684 · arxiv_version: 1302.3684v3 · doi: 10.48550/arxiv.1302.3684 · pith_short_12: FN7CI4ITEY7F · pith_short_16: FN7CI4ITEY7FINLR · pith_short_8: FN7CI4IT

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/FN7CI4ITEY7FINLRU5EC4KIZ56 \
  | 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: 2b7e247113263e543571a7482e2919ef9fa506a71a2a9dd1c0d797879a0cf168

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a98ef94a9e49d4854f1ff7b002e305da41713378f5ca264e642beccebc683458",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-15T06:32:09Z",
    "title_canon_sha256": "b78ed65d7719b823dccaf5ad78d70a0ac6f9776850f82bbf6a17b9b1a378b643"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3684",
    "kind": "arxiv",
    "version": 3
  }
}