Pith Number

pith:34FNJIQR

pith:2012:34FNJIQRTHVQQKDVE3A46VFKBC

not attested not anchored not stored refs pending

Morphisms between categorified spin networks

Matt Hogancamp

arxiv:1209.2732 v1 · 2012-09-12 · math.QA · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34FNJIQRTHVQQKDVE3A46VFKBC}

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	2026-05-18T03:45:41.131959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df0ad4a21199eb08287526c1cf54aa0887ed93dcaa4486d1ffd5d9f64d8a3dd3

Aliases

arxiv: 1209.2732 · arxiv_version: 1209.2732v1 · doi: 10.48550/arxiv.1209.2732 · pith_short_12: 34FNJIQRTHVQ · pith_short_16: 34FNJIQRTHVQQKDV · pith_short_8: 34FNJIQR

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/34FNJIQRTHVQQKDVE3A46VFKBC \
  | 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: df0ad4a21199eb08287526c1cf54aa0887ed93dcaa4486d1ffd5d9f64d8a3dd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "026274bc14cf915ef4473addff4b945735c385005cedea4bbcb30bcd049c95f7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-09-12T21:05:37Z",
    "title_canon_sha256": "0784860c06f4708b1789dcc821cface20115156469c5a3504627313882e509f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2732",
    "kind": "arxiv",
    "version": 1
  }
}