Pith Number

pith:5WNK5JRV

pith:2023:5WNK5JRVOFPLCEIV24LUTOJNQI

not attested not anchored not stored refs pending

Associators in mould theory

Hidekazu Furusho, Minoru Hirose, Nao Komiyama

arxiv:2312.15423 v2 · 2023-12-24 · math.QA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WNK5JRVOFPLCEIV24LUTOJNQI}

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	2026-06-24T01:14:18.345546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed9aaea635715eb11115d71749b92d821b9b89fb2dc527dc7c1d4adf98cb9be7

Aliases

arxiv: 2312.15423 · arxiv_version: 2312.15423v2 · doi: 10.48550/arxiv.2312.15423 · pith_short_12: 5WNK5JRVOFPL · pith_short_16: 5WNK5JRVOFPLCEIV · pith_short_8: 5WNK5JRV

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/5WNK5JRVOFPLCEIV24LUTOJNQI \
  | 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: ed9aaea635715eb11115d71749b92d821b9b89fb2dc527dc7c1d4adf98cb9be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eee61b33e8bf77b21ca53ff0824318954733f50d1ced020d603f74e5ba4ee52",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2023-12-24T07:04:59Z",
    "title_canon_sha256": "a6d4747e8642a436dbc13f2f83b9f12525a49366db8644da0b303a2ddaaf2644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.15423",
    "kind": "arxiv",
    "version": 2
  }
}