Pith Number

pith:3K22ZBK3

pith:2012:3K22ZBK3QTLBQO5F4VJUKUERCN

not attested not anchored not stored refs pending

On critical Heegaard splittings of tunnel number two composite knot exteriors

Jungsoo Kim

arxiv:1210.3174 v2 · 2012-10-11 · 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{3K22ZBK3QTLBQO5F4VJUKUERCN}

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	2026-05-18T02:28:21.182523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab5ac855b84d6183ba5e553455091134aa82706ad068804c008d0a494f84334

Aliases

arxiv: 1210.3174 · arxiv_version: 1210.3174v2 · doi: 10.48550/arxiv.1210.3174 · pith_short_12: 3K22ZBK3QTLB · pith_short_16: 3K22ZBK3QTLBQO5F · pith_short_8: 3K22ZBK3

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/3K22ZBK3QTLBQO5F4VJUKUERCN \
  | 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: dab5ac855b84d6183ba5e553455091134aa82706ad068804c008d0a494f84334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23fb6935f322d390c475decc9cb6595cf3e03435344d1cc3ec12be872520f8ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-11T10:54:01Z",
    "title_canon_sha256": "fa9ea34354f47d7f8396658145dd86f617ce81af816f8875cb3636f4fa46b501"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3174",
    "kind": "arxiv",
    "version": 2
  }
}