Pith Number

pith:ZV5SBCQS

pith:2011:ZV5SBCQSIKMDH2RZXQHCQCLGSH

not attested not anchored not stored refs pending

Chart description for genus-two Lefschetz fibrations and a theorem on their stabilization

Seiichi Kamada

arxiv:1106.0569 v1 · 2011-06-03 · 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{ZV5SBCQSIKMDH2RZXQHCQCLGSH}

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	2026-05-18T01:23:45.781036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd7b208a12429833ea39bc0e28096691eb02c755bcba1930ffdd8c7d9a7ae971

Aliases

arxiv: 1106.0569 · arxiv_version: 1106.0569v1 · doi: 10.48550/arxiv.1106.0569 · pith_short_12: ZV5SBCQSIKMD · pith_short_16: ZV5SBCQSIKMDH2RZ · pith_short_8: ZV5SBCQS

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/ZV5SBCQSIKMDH2RZXQHCQCLGSH \
  | 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: cd7b208a12429833ea39bc0e28096691eb02c755bcba1930ffdd8c7d9a7ae971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3719955ce6af2f1d73f6749520806c23c5b26b2118d5a3bd3da53aa455fab3aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-03T06:35:30Z",
    "title_canon_sha256": "31fcbab4659ac57fbec9e730510fd0e38073ede345745f49d9a262c0489bd2e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0569",
    "kind": "arxiv",
    "version": 1
  }
}