Pith Number

pith:BDGUBCCZ

pith:2016:BDGUBCCZCK4OLKPBUQNGQUMDYD

not attested not anchored not stored refs pending

Higher cyclic operads

Donald Yau, Marcy Robertson, Philip Hackney

arxiv:1611.02591 v3 · 2016-11-08 · math.AT · 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{BDGUBCCZCK4OLKPBUQNGQUMDYD}

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	2026-05-17T23:51:00.460251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08cd40885912b8e5a9e1a41a685183c0f9433616f3a054a30ee45cc6ab5e2851

Aliases

arxiv: 1611.02591 · arxiv_version: 1611.02591v3 · doi: 10.48550/arxiv.1611.02591 · pith_short_12: BDGUBCCZCK4O · pith_short_16: BDGUBCCZCK4OLKPB · pith_short_8: BDGUBCCZ

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/BDGUBCCZCK4OLKPBUQNGQUMDYD \
  | 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: 08cd40885912b8e5a9e1a41a685183c0f9433616f3a054a30ee45cc6ab5e2851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99da8393d1792928a49f27be10509966e70c0dcabdcf362c7808f20bfa03c3bb",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-11-08T16:24:20Z",
    "title_canon_sha256": "03ca359e4101d746c24fc9dd634fee0f596e098eecaa05575d55b6f39cf3a880"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02591",
    "kind": "arxiv",
    "version": 3
  }
}