Pith Number

pith:OKV5TDDM

pith:2010:OKV5TDDM42XZIQVW5FB727R77D

not attested not anchored not stored refs pending

Stein fillable Seifert fibered 3-manifolds

Ana G. Lecuona, Paolo Lisca

arxiv:1007.3010 v2 · 2010-07-18 · math.SG · 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{OKV5TDDM42XZIQVW5FB727R77D}

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	2026-05-18T02:41:50.825737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72abd98c6ce6af9442b6e943fd7e3ff8f5735b7277e5b436fab52201a072fe26

Aliases

arxiv: 1007.3010 · arxiv_version: 1007.3010v2 · doi: 10.48550/arxiv.1007.3010 · pith_short_12: OKV5TDDM42XZ · pith_short_16: OKV5TDDM42XZIQVW · pith_short_8: OKV5TDDM

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/OKV5TDDM42XZIQVW5FB727R77D \
  | 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: 72abd98c6ce6af9442b6e943fd7e3ff8f5735b7277e5b436fab52201a072fe26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9c4479092cd365f3f8d00366d857c7efe2dc2673f1b7ef9835fe0d7053cfc0b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-07-18T15:13:15Z",
    "title_canon_sha256": "5befe2fe47444bb06a5966b610f9472897181bd96ca20ec47ff2718fd5bac2be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3010",
    "kind": "arxiv",
    "version": 2
  }
}