Pith Number

pith:T2UW54NE

pith:2018:T2UW54NEBAPCWWWEYNS674UEFC

not attested not anchored not stored refs pending

A note on Lefschetz fibrations on algebraic surfaces

Kalyan Banerjee

arxiv:1806.02074 v1 · 2018-06-06 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2UW54NEBAPCWWWEYNS674UEFC}

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	2026-05-18T00:14:02.770534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ea96ef1a4081e2b5ac4c365eff28428b53ecd31e7e53c37596f660afb25fdc9

Aliases

arxiv: 1806.02074 · arxiv_version: 1806.02074v1 · doi: 10.48550/arxiv.1806.02074 · pith_short_12: T2UW54NEBAPC · pith_short_16: T2UW54NEBAPCWWWE · pith_short_8: T2UW54NE

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/T2UW54NEBAPCWWWEYNS674UEFC \
  | 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: 9ea96ef1a4081e2b5ac4c365eff28428b53ecd31e7e53c37596f660afb25fdc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deafc9717b150b9c24c5e85df45e4be167904cd175893966781bad889aaefa63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-06-06T09:07:12Z",
    "title_canon_sha256": "ecdf7d47c64d9fef85cb63238434b41c5f81ed9cfc88d6699172bd0969b9024d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02074",
    "kind": "arxiv",
    "version": 1
  }
}