Pith Number

pith:LD7CKANL

pith:2012:LD7CKANLPCBMNDOVJVBFLKFIQX

not attested not anchored not stored refs pending

Operads and moduli spaces

Christopher Braun

arxiv:1209.1088 v1 · 2012-09-05 · math.GT · math.AG · math.AT · 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{LD7CKANLPCBMNDOVJVBFLKFIQX}

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	2026-05-18T03:46:15.519162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58fe2501ab7882c68dd54d4255a8a885fe6c5026e20a53c1113dcc36c6742c00

Aliases

arxiv: 1209.1088 · arxiv_version: 1209.1088v1 · doi: 10.48550/arxiv.1209.1088 · pith_short_12: LD7CKANLPCBM · pith_short_16: LD7CKANLPCBMNDOV · pith_short_8: LD7CKANL

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/LD7CKANLPCBMNDOVJVBFLKFIQX \
  | 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: 58fe2501ab7882c68dd54d4255a8a885fe6c5026e20a53c1113dcc36c6742c00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb92e1e2f755aed35d87372fc488839d91d6601247b5684ad04614503865ece8",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-09-05T19:59:42Z",
    "title_canon_sha256": "827475dbd0271bbf09c5385e9af89ccddc5dd81479e6bf382e71057d6190e70a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1088",
    "kind": "arxiv",
    "version": 1
  }
}