Pith Number

pith:6ZBMUXL7

pith:2003:6ZBMUXL7O53D34QUVMAK6O4J4R

not attested not anchored not stored refs pending

The surgery obstruction groups of the infinite dihedral group

Francis X. Connolly, James F. Davis

arxiv:math/0306054 v2 · 2003-06-03 · math.GT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZBMUXL7O53D34QUVMAK6O4J4R}

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	2026-05-18T01:14:36.667402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f642ca5d7f77763df214ab00af3b89e45c1b886ad86643f1d0a3b9147cfe23c4

Aliases

arxiv: math/0306054 · arxiv_version: math/0306054v2 · doi: 10.48550/arxiv.math/0306054 · pith_short_12: 6ZBMUXL7O53D · pith_short_16: 6ZBMUXL7O53D34QU · pith_short_8: 6ZBMUXL7

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/6ZBMUXL7O53D34QUVMAK6O4J4R \
  | 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: f642ca5d7f77763df214ab00af3b89e45c1b886ad86643f1d0a3b9147cfe23c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5af42dcec3784c8cf188883c48028fb05e97aa0e0dff1c915f3a4df4b0cb694",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-06-03T02:57:27Z",
    "title_canon_sha256": "f287dfd2e1b517d5e200dfede1911703156530a5a833f64a8e08e0346fd37361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306054",
    "kind": "arxiv",
    "version": 2
  }
}