Pith Number

pith:D4K5GZ4M

pith:2003:D4K5GZ4MNFPE7KDOHSUYWI6KZE

not attested not anchored not stored refs pending

Seifert fibered contact three-manifolds via surgery

Andras I. Stipsicz, Paolo Lisca

arxiv:math/0307341 v3 · 2003-07-25 · 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{D4K5GZ4MNFPE7KDOHSUYWI6KZE}

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	2026-05-18T02:41:32.641757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f15d3678c695e4fa86e3ca98b23cac9144f5042a7c4ac1b70bc103ff307976f

Aliases

arxiv: math/0307341 · arxiv_version: math/0307341v3 · doi: 10.48550/arxiv.math/0307341 · pith_short_12: D4K5GZ4MNFPE · pith_short_16: D4K5GZ4MNFPE7KDO · pith_short_8: D4K5GZ4M

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/D4K5GZ4MNFPE7KDOHSUYWI6KZE \
  | 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: 1f15d3678c695e4fa86e3ca98b23cac9144f5042a7c4ac1b70bc103ff307976f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b3af0b2fbc9ebde765494ef823a0ec3034111a6cdd7662d7d6e1d0495937c06",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2003-07-25T14:53:03Z",
    "title_canon_sha256": "e61e9a637b4b855c0d3d5909555fc080be6c96ad3a891a79b87d2250001c0391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307341",
    "kind": "arxiv",
    "version": 3
  }
}