Pith Number

pith:H3BYG5DW

pith:2010:H3BYG5DWT7I25QETYO2CCUH3S2

not attested not anchored not stored refs pending

Contractibility of the Kakimizu complex and symmetric Seifert surfaces

Jennifer Schultens, Piotr Przytycki

arxiv:1004.4168 v2 · 2010-04-23 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3BYG5DWT7I25QETYO2CCUH3S2}

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	2026-05-18T03:02:18.348252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec38374769fd1aec093c3b42150fb96b8b1fd0443b811af6bb765fe1695563d

Aliases

arxiv: 1004.4168 · arxiv_version: 1004.4168v2 · doi: 10.48550/arxiv.1004.4168 · pith_short_12: H3BYG5DWT7I2 · pith_short_16: H3BYG5DWT7I25QET · pith_short_8: H3BYG5DW

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/H3BYG5DWT7I25QETYO2CCUH3S2 \
  | 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: 3ec38374769fd1aec093c3b42150fb96b8b1fd0443b811af6bb765fe1695563d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f2b88f73df1a5a46ff059bb19d18b8d55c90c559a51d8aedc2590a1fd6c232",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-23T15:58:53Z",
    "title_canon_sha256": "ea924bf78f9a1b2587e37afac98040d9533ea6f781d7ea25cc9189352ced108f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4168",
    "kind": "arxiv",
    "version": 2
  }
}