Pith Number

pith:HNMNFZ3G

pith:2004:HNMNFZ3GAAUMIRCOQ7D7FIRNIF

not attested not anchored not stored refs pending

Connected sums of unstabilized Heegaard splittings are unstabilized

David Bachman

arxiv:math/0404058 v3 · 2004-04-03 · 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{HNMNFZ3GAAUMIRCOQ7D7FIRNIF}

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	2026-05-18T02:38:00.138461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b58d2e7660028c4444e87c7f2a22d4145b79d7a947af421c4fb2b25e96340d6

Aliases

arxiv: math/0404058 · arxiv_version: math/0404058v3 · doi: 10.48550/arxiv.math/0404058 · pith_short_12: HNMNFZ3GAAUM · pith_short_16: HNMNFZ3GAAUMIRCO · pith_short_8: HNMNFZ3G

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/HNMNFZ3GAAUMIRCOQ7D7FIRNIF \
  | 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: 3b58d2e7660028c4444e87c7f2a22d4145b79d7a947af421c4fb2b25e96340d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a99d959de49299b881d4457bae556924668f37d8f9669502067ad7efde38469",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-04-03T22:17:58Z",
    "title_canon_sha256": "47ff71283d98cdcfc40a5d92ec843c0a6fa8bc5f4e7dbb3b90d962209a4f2bd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404058",
    "kind": "arxiv",
    "version": 3
  }
}