Pith Number

pith:A2IQYEVA

pith:2009:A2IQYEVA55LU3PWQ5X6D46E7GQ

not attested not anchored not stored refs pending

Incompressible surfaces in handlebodies and boundary reducible 3-manifolds

Henry Segerman, Jo\~ao Miguel Nogueira

arxiv:0911.0207 v2 · 2009-11-01 · 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{A2IQYEVA55LU3PWQ5X6D46E7GQ}

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	2026-05-18T02:24:46.496278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06910c12a0ef574dbed0edfc3e789f3403e1e9be09c699cb96ba32f7e0ce750f

Aliases

arxiv: 0911.0207 · arxiv_version: 0911.0207v2 · doi: 10.48550/arxiv.0911.0207 · pith_short_12: A2IQYEVA55LU · pith_short_16: A2IQYEVA55LU3PWQ · pith_short_8: A2IQYEVA

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/A2IQYEVA55LU3PWQ5X6D46E7GQ \
  | 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: 06910c12a0ef574dbed0edfc3e789f3403e1e9be09c699cb96ba32f7e0ce750f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c95949901fb82a03edb6c85dd1a2757caa145964055ec25ae8e32f7b91ac2553",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-11-01T22:27:43Z",
    "title_canon_sha256": "0eb4ea77ba8e9b31d053a5ae431b986057431fe8c6610b9070a247b0c3e56ded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0207",
    "kind": "arxiv",
    "version": 2
  }
}