Pith Number

pith:I4TCF7FK

pith:2015:I4TCF7FKBMDYJSHXJVL37OZIIZ

not attested not anchored not stored refs pending

Categorified trace for module tensor categories over braided tensor categories

Andr\'e Henriques, David Penneys, James Tener

arxiv:1509.02937 v1 · 2015-09-09 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4TCF7FKBMDYJSHXJVL37OZIIZ}

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	2026-05-18T00:59:42.273452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472622fcaa0b0784c8f74d57bfbb28466a03c971beed39e0ada5cb693ff49c13

Aliases

arxiv: 1509.02937 · arxiv_version: 1509.02937v1 · doi: 10.48550/arxiv.1509.02937 · pith_short_12: I4TCF7FKBMDY · pith_short_16: I4TCF7FKBMDYJSHX · pith_short_8: I4TCF7FK

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/I4TCF7FKBMDYJSHXJVL37OZIIZ \
  | 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: 472622fcaa0b0784c8f74d57bfbb28466a03c971beed39e0ada5cb693ff49c13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cee1918252e469ad66bf5b9ecb0adb523236fe92b160467bc6008003adf0d05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-09-09T20:18:39Z",
    "title_canon_sha256": "304bd9f160a66cc47feb776b50b7aac84d9d36f97825182b229f6d62c8ff1e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02937",
    "kind": "arxiv",
    "version": 1
  }
}