Pith Number

pith:ZNSPVW2Q

pith:2002:ZNSPVW2QDXAVEU4V7LJYNVCTC6

not attested not anchored not stored refs pending

Complexity and Heegaard genus of an infinite class of compact 3-manifolds

Bruno Martelli, Carlo Petronio, Roberto Frigerio

arxiv:math/0206156 v1 · 2002-06-16 · 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{ZNSPVW2QDXAVEU4V7LJYNVCTC6}

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	2026-05-18T01:05:29.509280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb64fadb501dc1525395fad386d45317adb067c10dee7f64f0befd42ed25ba69

Aliases

arxiv: math/0206156 · arxiv_version: math/0206156v1 · doi: 10.48550/arxiv.math/0206156 · pith_short_12: ZNSPVW2QDXAV · pith_short_16: ZNSPVW2QDXAVEU4V · pith_short_8: ZNSPVW2Q

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/ZNSPVW2QDXAVEU4V7LJYNVCTC6 \
  | 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: cb64fadb501dc1525395fad386d45317adb067c10dee7f64f0befd42ed25ba69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dab64b9ed7b4d854452390bc9957938ded8693003ff6d22e59189f6c2475950",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-06-16T15:39:07Z",
    "title_canon_sha256": "c24a5b058daf981698ee2060d3bd93d79dc81fab76db77d0c75a6074219b19f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206156",
    "kind": "arxiv",
    "version": 1
  }
}