Pith Number

pith:BK2ZLM72

pith:2015:BK2ZLM72EAQDYAJ5OG5BCTKTG6

not attested not anchored not stored refs pending

3-manifolding admitting locally large distance 2 Heegaard splittings

Ruifeng Qiu, Yanqing Zou

arxiv:1509.05283 v2 · 2015-09-17 · 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{BK2ZLM72EAQDYAJ5OG5BCTKTG6}

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	2026-05-18T01:29:20.453192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ab595b3fa20203c013d71ba114d5337ac9011d7c386e7afb64c33c72a8c0400

Aliases

arxiv: 1509.05283 · arxiv_version: 1509.05283v2 · doi: 10.48550/arxiv.1509.05283 · pith_short_12: BK2ZLM72EAQD · pith_short_16: BK2ZLM72EAQDYAJ5 · pith_short_8: BK2ZLM72

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/BK2ZLM72EAQDYAJ5OG5BCTKTG6 \
  | 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: 0ab595b3fa20203c013d71ba114d5337ac9011d7c386e7afb64c33c72a8c0400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b71029ca607a658532eefa6420c5458f25a68f4997a8b3f44ce4c09ccbd3a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-17T15:12:08Z",
    "title_canon_sha256": "4fd0848ce071b447b0518f261cad372a2722df16440615cdb02788cb797a802b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05283",
    "kind": "arxiv",
    "version": 2
  }
}