Pith Number

pith:KKLCFKRC

pith:2010:KKLCFKRCVUZ2KMWOEDOFMD2SOZ

not attested not anchored not stored refs pending

Calculating isotopy classes of Heegaard splittings

Jesse Johnson

arxiv:1004.4669 v2 · 2010-04-26 · 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{KKLCFKRCVUZ2KMWOEDOFMD2SOZ}

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	2026-05-18T02:24:16.119346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

529622aa22ad33a532ce20dc560f52766c2a6230f898517e3349a913c55981d8

Aliases

arxiv: 1004.4669 · arxiv_version: 1004.4669v2 · doi: 10.48550/arxiv.1004.4669 · pith_short_12: KKLCFKRCVUZ2 · pith_short_16: KKLCFKRCVUZ2KMWO · pith_short_8: KKLCFKRC

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/KKLCFKRCVUZ2KMWOEDOFMD2SOZ \
  | 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: 529622aa22ad33a532ce20dc560f52766c2a6230f898517e3349a913c55981d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9303b6c9ad8465f5e8c484f064faebb05c9c2e9714a13348556c9baf278e80f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-26T22:35:13Z",
    "title_canon_sha256": "c195d5edd29401cc668e27e1c124d4af32aa06102d15d0674a405700b0a9cdf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4669",
    "kind": "arxiv",
    "version": 2
  }
}