Pith Number

pith:EHNLLHFG

pith:2011:EHNLLHFGCI5BUBM3KFT4NJGCYE

not attested not anchored not stored refs pending

Four-manifolds admitting hyperelliptic broken Lefschetz fibrations

Kenta Hayano, Masatoshi Sato

arxiv:1110.0161 v1 · 2011-10-02 · 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{EHNLLHFGCI5BUBM3KFT4NJGCYE}

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	2026-05-18T02:21:35.652962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21dab59ca6123a1a059b5167c6a4c2c1309a8cfff88a3736a44e59ecffb236d5

Aliases

arxiv: 1110.0161 · arxiv_version: 1110.0161v1 · doi: 10.48550/arxiv.1110.0161 · pith_short_12: EHNLLHFGCI5B · pith_short_16: EHNLLHFGCI5BUBM3 · pith_short_8: EHNLLHFG

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/EHNLLHFGCI5BUBM3KFT4NJGCYE \
  | 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: 21dab59ca6123a1a059b5167c6a4c2c1309a8cfff88a3736a44e59ecffb236d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e8a8be673b91014a5fb641b1b2776af84915d4720164d97a623e629d24ec22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-02T09:09:44Z",
    "title_canon_sha256": "de49ca2f9b2c8c6c980ef1299e6a50bb7ed99e5eb1b05cf6058c3e458e2dfcd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0161",
    "kind": "arxiv",
    "version": 1
  }
}