Pith Number

pith:CV5BIGNC

pith:2012:CV5BIGNCRJW74Y275Q3TWWAS3G

not attested not anchored not stored refs pending

Heegaard splittings of distance exactly $n$

Ayako Ido, Tsuyoshi Kobayashi, Yeonhee Jang

arxiv:1210.7627 v4 · 2012-10-29 · 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{CV5BIGNCRJW74Y275Q3TWWAS3G}

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	2026-05-18T02:41:42.818040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

157a1419a28a6dfe635fec373b5812d9b1e0863d301b574f2a00b935e9dda6cf

Aliases

arxiv: 1210.7627 · arxiv_version: 1210.7627v4 · doi: 10.48550/arxiv.1210.7627 · pith_short_12: CV5BIGNCRJW7 · pith_short_16: CV5BIGNCRJW74Y27 · pith_short_8: CV5BIGNC

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/CV5BIGNCRJW74Y275Q3TWWAS3G \
  | 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: 157a1419a28a6dfe635fec373b5812d9b1e0863d301b574f2a00b935e9dda6cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b07c8295caf5a0278bea4fac8656ba2627814e81cc53de790000329a13199931",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-29T11:46:10Z",
    "title_canon_sha256": "532333e6f74a2a07c768127b79518ab5c0db48efa699e4d49e21c28f9a8dd465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7627",
    "kind": "arxiv",
    "version": 4
  }
}