Pith Number

pith:3KH7LV3E

pith:2013:3KH7LV3E6IKCGOCGB2S6FH7D4O

not attested not anchored not stored refs pending

The Heegaard distances cover all non-negative integers

Qilong Guo, Ruifeng Qiu, Yanqing Zou

arxiv:1302.5188 v3 · 2013-02-21 · 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{3KH7LV3E6IKCGOCGB2S6FH7D4O}

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	2026-05-18T01:22:25.696931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8ff5d764f2142338460ea5e29fe3e38baea15f95b51faec2daff1f50ca1b12

Aliases

arxiv: 1302.5188 · arxiv_version: 1302.5188v3 · doi: 10.48550/arxiv.1302.5188 · pith_short_12: 3KH7LV3E6IKC · pith_short_16: 3KH7LV3E6IKCGOCG · pith_short_8: 3KH7LV3E

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/3KH7LV3E6IKCGOCGB2S6FH7D4O \
  | 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: da8ff5d764f2142338460ea5e29fe3e38baea15f95b51faec2daff1f50ca1b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "310025f5b43aaf6fde289e50425ce4eb684e00317304dfa0d985ebf8235aad70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-02-21T06:02:22Z",
    "title_canon_sha256": "f2eec94e33530d8c1d88b1364219f5b6f169e6b8785347931304dc7cc99476f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5188",
    "kind": "arxiv",
    "version": 3
  }
}