Pith Number

pith:WVM72JI5

pith:2018:WVM72JI54Z3OQMCF5ZIUA5CGVP

not attested not anchored not stored refs pending

The existence of an indecomposable minimal genus two Lefschetz fibration

Anar Akhmedov, Naoyuki Monden

arxiv:1809.09542 v2 · 2018-09-25 · 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{WVM72JI54Z3OQMCF5ZIUA5CGVP}

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	2026-05-18T00:02:59.379218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b559fd251de676e83045ee51407446abf7a82bbdfd85779dcbae8e201c98f325

Aliases

arxiv: 1809.09542 · arxiv_version: 1809.09542v2 · doi: 10.48550/arxiv.1809.09542 · pith_short_12: WVM72JI54Z3O · pith_short_16: WVM72JI54Z3OQMCF · pith_short_8: WVM72JI5

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/WVM72JI54Z3OQMCF5ZIUA5CGVP \
  | 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: b559fd251de676e83045ee51407446abf7a82bbdfd85779dcbae8e201c98f325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4350ce836829d205abc7cab26834e1a545e9109baaa2a8cbe08e7cd4a0e3693a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-25T15:23:06Z",
    "title_canon_sha256": "43b339b184a5f014c8dfd1dac3ae971a0912f5051dce4bdf5cdf45388a3cbe1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09542",
    "kind": "arxiv",
    "version": 2
  }
}