Pith Number

pith:PB53EBGK

pith:2015:PB53EBGKHXPIXBBPDZRLWCA2N7

not attested not anchored not stored refs pending

Hopf polyads

Alain Brugui\`eres

arxiv:1511.04639 v2 · 2015-11-15 · math.QA · 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{PB53EBGKHXPIXBBPDZRLWCA2N7}

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	2026-05-18T01:26:24.689225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

787bb204ca3dde8b842f1e62bb081a6fdb3c269cb90803e737d6de7415a42b12

Aliases

arxiv: 1511.04639 · arxiv_version: 1511.04639v2 · doi: 10.48550/arxiv.1511.04639 · pith_short_12: PB53EBGKHXPI · pith_short_16: PB53EBGKHXPIXBBP · pith_short_8: PB53EBGK

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/PB53EBGKHXPIXBBPDZRLWCA2N7 \
  | 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: 787bb204ca3dde8b842f1e62bb081a6fdb3c269cb90803e737d6de7415a42b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "411e4aa0568ca34aa57d0e4b6a407af98059ae52f5b0b45c85795e3e28c99ea6",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-11-15T00:37:35Z",
    "title_canon_sha256": "ee9e939c5b1b7d04fee60c46706558d9c822a35f8a24bada79a08fad48da27e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04639",
    "kind": "arxiv",
    "version": 2
  }
}