Pith Number

pith:7H4K2MB6

pith:2010:7H4K2MB62SHCBAQPH4I32Q4VO6

not attested not anchored not stored refs pending

Classification of broken Lefschetz fibrations with small fiber genera

R. Inanc Baykur, Seiichi Kamada

arxiv:1010.5814 v2 · 2010-10-27 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7H4K2MB62SHCBAQPH4I32Q4VO6}

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	2026-05-18T04:33:28.861898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f8ad303ed48e20820f3f11bd439577898d794f922d2d5393116c87e8a030ef

Aliases

arxiv: 1010.5814 · arxiv_version: 1010.5814v2 · doi: 10.48550/arxiv.1010.5814 · pith_short_12: 7H4K2MB62SHC · pith_short_16: 7H4K2MB62SHCBAQP · pith_short_8: 7H4K2MB6

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/7H4K2MB62SHCBAQPH4I32Q4VO6 \
  | 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: f9f8ad303ed48e20820f3f11bd439577898d794f922d2d5393116c87e8a030ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b65a49278baf8531a02ce4cffbb027d918ccbb03a6dad9416c806a4ecd14c7b",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-27T21:35:12Z",
    "title_canon_sha256": "aef3c66eac50ca8f829e236f486d43b9f37e1ff1efcb6f2e4d6e4625e4524448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5814",
    "kind": "arxiv",
    "version": 2
  }
}