Pith Number

pith:2DCOBTI3

pith:2013:2DCOBTI33LFDAWHESKMAGDSNMQ

not attested not anchored not stored refs pending

Groupoids, Frobenius algebras and Poisson sigma models

Ivan Contreras

arxiv:1306.4119 v1 · 2013-06-18 · math-ph · math.CT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DCOBTI33LFDAWHESKMAGDSNMQ}

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	2026-05-18T01:33:24.585681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0c4e0cd1bdaca3058e49298030e4d641bdaa2e3e55649504086ffc1024aa115

Aliases

arxiv: 1306.4119 · arxiv_version: 1306.4119v1 · doi: 10.48550/arxiv.1306.4119 · pith_short_12: 2DCOBTI33LFD · pith_short_16: 2DCOBTI33LFDAWHE · pith_short_8: 2DCOBTI3

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/2DCOBTI33LFDAWHESKMAGDSNMQ \
  | 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: d0c4e0cd1bdaca3058e49298030e4d641bdaa2e3e55649504086ffc1024aa115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cad030b8ddb6bba56ab225f96776a78fee129e39eb029e0c7f29e93a54f4a95",
    "cross_cats_sorted": [
      "math.CT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-18T09:29:12Z",
    "title_canon_sha256": "c8460be26fc9ebc91f4eabaa1b7eb2f6b94f0616da175b0c4c49d60a11b27c94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4119",
    "kind": "arxiv",
    "version": 1
  }
}