Pith Number

pith:NBWFKGL4

pith:2003:NBWFKGL4W6Z6QR5WHN6I4H75JO

not attested not anchored not stored refs pending

Distances of Heegaard splittings

Aaron Abrams, Saul Schleimer

arxiv:math/0306071 v2 · 2003-06-03 · 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{NBWFKGL4W6Z6QR5WHN6I4H75JO}

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	2026-05-18T02:38:00.340387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686c55197cb7b3e847b63b7c8e1ffd4ba9397e593692b6ef2c1e6b9967a35df2

Aliases

arxiv: math/0306071 · arxiv_version: math/0306071v2 · doi: 10.48550/arxiv.math/0306071 · pith_short_12: NBWFKGL4W6Z6 · pith_short_16: NBWFKGL4W6Z6QR5W · pith_short_8: NBWFKGL4

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/NBWFKGL4W6Z6QR5WHN6I4H75JO \
  | 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: 686c55197cb7b3e847b63b7c8e1ffd4ba9397e593692b6ef2c1e6b9967a35df2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec3c2c52a0c43353a34f622f19b258711de70670fb316683cbc3cae7b6757ac0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-06-03T21:54:50Z",
    "title_canon_sha256": "771197a4177dcc413cbbcf3732b1fcaaf323379b79f96496000a6c181095bbf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306071",
    "kind": "arxiv",
    "version": 2
  }
}