Pith Number

pith:VATHBNNX

pith:2013:VATHBNNXVUGUU6PW4WLAHNNE7E

not attested not anchored not stored refs pending

An A-infinity operad in spineless cacti

Andrew Tonks, Imma G\'alvez-Carrillo, Leandro Lombardi

arxiv:1304.0352 v1 · 2013-04-01 · math.AT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VATHBNNXVUGUU6PW4WLAHNNE7E}

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	2026-05-18T03:29:17.173905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82670b5b7ad0d4a79f6e59603b5a4f90c26c569ae10e484fceaab019c2503a2

Aliases

arxiv: 1304.0352 · arxiv_version: 1304.0352v1 · doi: 10.48550/arxiv.1304.0352 · pith_short_12: VATHBNNXVUGU · pith_short_16: VATHBNNXVUGUU6PW · pith_short_8: VATHBNNX

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/VATHBNNXVUGUU6PW4WLAHNNE7E \
  | 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: a82670b5b7ad0d4a79f6e59603b5a4f90c26c569ae10e484fceaab019c2503a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1377daeb494fb21cad44fda946149b146a9e7a6702d12a15b09978b194ce47b",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-04-01T13:41:03Z",
    "title_canon_sha256": "b072c132f1ca11938a40750874468a19f95a6eff21ae55e301ab65afe465c380"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0352",
    "kind": "arxiv",
    "version": 1
  }
}