Pith Number

pith:WTS4XLKL

pith:2006:WTS4XLKL7KUECKILSB6EEHG6CA

not attested not anchored not stored refs pending

On Yetter's Invariant and an Extension of the Dijkgraaf-Witten Invariant to Categorical Groups

Jo\~ao Faria Martins, Timothy Porter

arxiv:math/0608484 v2 · 2006-08-19 · math.QA · gr-qc · 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{WTS4XLKL7KUECKILSB6EEHG6CA}

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	2026-05-18T00:44:04.296164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e5cbad4bfaa841290b907c421cde101795d8413baeb4adec0cd9a36486d450

Aliases

arxiv: math/0608484 · arxiv_version: math/0608484v2 · doi: 10.48550/arxiv.math/0608484 · pith_short_12: WTS4XLKL7KUE · pith_short_16: WTS4XLKL7KUECKIL · pith_short_8: WTS4XLKL

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/WTS4XLKL7KUECKILSB6EEHG6CA \
  | 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: b4e5cbad4bfaa841290b907c421cde101795d8413baeb4adec0cd9a36486d450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70339a4efe00686e481b8ec7d9cec8921c9cd8473534b3f8c494a7de5a3c6619",
    "cross_cats_sorted": [
      "gr-qc",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-08-19T15:08:15Z",
    "title_canon_sha256": "120a830fd4e59195aef3f63c48dda04c643f3834971941fbc2c4a233adfa23f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608484",
    "kind": "arxiv",
    "version": 2
  }
}