Pith Number

pith:7MLVGWXH

pith:2011:7MLVGWXHS3TUFQI7O2ZOG5G4FN

not attested not anchored not stored refs pending

Intersections of curves on surfaces and their applications to mapping class groups

Nariya Kawazumi, Yusuke Kuno

arxiv:1112.3841 v3 · 2011-12-16 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MLVGWXHS3TUFQI7O2ZOG5G4FN}

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	2026-05-18T03:32:28.627177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb17535ae796e742c11f76b2e374dc2b7d9d260b908984f2ff53fd6f03b0774b

Aliases

arxiv: 1112.3841 · arxiv_version: 1112.3841v3 · doi: 10.48550/arxiv.1112.3841 · pith_short_12: 7MLVGWXHS3TU · pith_short_16: 7MLVGWXHS3TUFQI7 · pith_short_8: 7MLVGWXH

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/7MLVGWXHS3TUFQI7O2ZOG5G4FN \
  | 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: fb17535ae796e742c11f76b2e374dc2b7d9d260b908984f2ff53fd6f03b0774b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4d50c075abafad51c8ad9fa469f233f3de5fe41867eae3968494946b0b2b75",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-16T15:00:50Z",
    "title_canon_sha256": "f9d437f97ae9ae6b3c3b8263cbb43542c7d66ac7fc849c1fc520da3180bff7fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3841",
    "kind": "arxiv",
    "version": 3
  }
}