Pith Number

pith:TBSIPRWU

pith:2015:TBSIPRWU4URQ6ENMWSZBUOZ3X2

not attested not anchored not stored refs pending

On the classification of Heegaard splittings

Daniel Ketover, David Gabai, Tobias Holck Colding

arxiv:1509.05945 v1 · 2015-09-19 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TBSIPRWU4URQ6ENMWSZBUOZ3X2}

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	2026-05-18T00:00:46.065611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

986487c6d4e5230f11acb4b21a3b3bbe8a74d12fece52fec4cc827fce7f436da

Aliases

arxiv: 1509.05945 · arxiv_version: 1509.05945v1 · doi: 10.48550/arxiv.1509.05945 · pith_short_12: TBSIPRWU4URQ · pith_short_16: TBSIPRWU4URQ6ENM · pith_short_8: TBSIPRWU

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/TBSIPRWU4URQ6ENMWSZBUOZ3X2 \
  | 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: 986487c6d4e5230f11acb4b21a3b3bbe8a74d12fece52fec4cc827fce7f436da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d605a0316e53fdaf5f20c71cafa41fcc8c0fcd97299bc723b58d1b3c9af40fa6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-19T22:41:03Z",
    "title_canon_sha256": "43d68d3d565d781c8299741652b3c28ea23663a627a40da9c371de1ad56a8356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05945",
    "kind": "arxiv",
    "version": 1
  }
}