Pith Number

pith:B26UWXCN

pith:2007:B26UWXCNJCW4X7XTPGBFLYQRMF

not attested not anchored not stored refs pending

The Categorification of a Symmetric Operad is Independent of Signature

Miles Gould

arxiv:0711.4904 v1 · 2007-11-30 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B26UWXCNJCW4X7XTPGBFLYQRMF}

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	2026-07-04T15:05:58.074511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ebd4b5c4d48adcbfef3798255e2116177eca3d1017bc6f5c9686eab2fbe1576

Aliases

arxiv: 0711.4904 · arxiv_version: 0711.4904v1 · doi: 10.48550/arxiv.0711.4904 · pith_short_12: B26UWXCNJCW4 · pith_short_16: B26UWXCNJCW4X7XT · pith_short_8: B26UWXCN

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/B26UWXCNJCW4X7XTPGBFLYQRMF \
  | 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: 0ebd4b5c4d48adcbfef3798255e2116177eca3d1017bc6f5c9686eab2fbe1576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451315558bfc91ec05bd4f286200f51a7b32abb4900ad5dd2b084b6e1402bda9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "2007-11-30T11:33:57Z",
    "title_canon_sha256": "f76631272e8ca22e7664fcba3c4eb0165d9c10f694c65f3d93ac48588d66d5f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.4904",
    "kind": "arxiv",
    "version": 1
  }
}