Pith Number

pith:7ASODHPJ

pith:2024:7ASODHPJK5YEMYRSREIMYBQEZC

not attested not anchored not stored refs pending

Diagrammatic criteria for strong irreducibility of Heegaard splittings and finiteness of Goeritz groups

Kazuto Takao, Yuya Koda

arxiv:2402.06849 v2 · 2024-02-10 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ASODHPJK5YEMYRSREIMYBQEZC}

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	2026-07-05T08:10:23.580462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f824e19de957704662328910cc0604c8a96faf8f42cb2b72f1ef5d26825cc1f6

Aliases

arxiv: 2402.06849 · arxiv_version: 2402.06849v2 · doi: 10.48550/arxiv.2402.06849 · pith_short_12: 7ASODHPJK5YE · pith_short_16: 7ASODHPJK5YEMYRS · pith_short_8: 7ASODHPJ

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/7ASODHPJK5YEMYRSREIMYBQEZC \
  | 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: f824e19de957704662328910cc0604c8a96faf8f42cb2b72f1ef5d26825cc1f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf964837627affa2dc0b3b2d120fcbf4fec845b3883726474223c6cf1ed3341",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-02-10T00:46:01Z",
    "title_canon_sha256": "9d934e3c171d2791fc3813598acb58574f86f2db549c6459dc0385cf9ba2db11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.06849",
    "kind": "arxiv",
    "version": 2
  }
}