Pith Number

pith:XYGOSW7N

pith:2011:XYGOSW7NPQQNSMHTKIUNYGNWYC

not attested not anchored not stored refs pending

A signature formula for hyperelliptic broken Lefschetz fibrations

Kenta Hayano, Masatoshi Sato

arxiv:1110.5286 v1 · 2011-10-24 · 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{XYGOSW7NPQQNSMHTKIUNYGNWYC}

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	2026-05-18T04:10:24.222823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be0ce95bed7c20d930f35228dc19b6c0b7e8ab28f2c0e17d67e52d638551acb1

Aliases

arxiv: 1110.5286 · arxiv_version: 1110.5286v1 · doi: 10.48550/arxiv.1110.5286 · pith_short_12: XYGOSW7NPQQN · pith_short_16: XYGOSW7NPQQNSMHT · pith_short_8: XYGOSW7N

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/XYGOSW7NPQQNSMHTKIUNYGNWYC \
  | 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: be0ce95bed7c20d930f35228dc19b6c0b7e8ab28f2c0e17d67e52d638551acb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e94daec3128ad14ab823616e6387c1769024d08e91c7c9f40225d7c6f1df689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-24T17:28:44Z",
    "title_canon_sha256": "8f1831ee6254383d3d4c371bb59cfbac70c5db2a648d4cdf03c85bc875e4c89a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5286",
    "kind": "arxiv",
    "version": 1
  }
}