Pith Number

pith:C2VZKH7N

pith:2013:C2VZKH7N37D4XLPHRIXKVDRJOF

not attested not anchored not stored refs pending

Disk complexes and genus two Heegaard splittings for non-prime 3-manifolds

Sangbum Cho, Yuya Koda

arxiv:1305.6534 v2 · 2013-05-28 · 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{C2VZKH7N37D4XLPHRIXKVDRJOF}

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	2026-05-18T02:55:48.473348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16ab951feddfc7cbade78a2eaa8e29714197109526853359dc802745f25aca36

Aliases

arxiv: 1305.6534 · arxiv_version: 1305.6534v2 · doi: 10.48550/arxiv.1305.6534 · pith_short_12: C2VZKH7N37D4 · pith_short_16: C2VZKH7N37D4XLPH · pith_short_8: C2VZKH7N

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/C2VZKH7N37D4XLPHRIXKVDRJOF \
  | 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: 16ab951feddfc7cbade78a2eaa8e29714197109526853359dc802745f25aca36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "480655552c5806ffb487a2bce7b160158bb4ef67791f4b205ff99b7775b89e3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-28T15:31:17Z",
    "title_canon_sha256": "9cb38457bf19de6227d110cdc13786d452fd257cb8486463b28a8508b2cd1199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6534",
    "kind": "arxiv",
    "version": 2
  }
}