Pith Number

pith:VPPV2TQM

pith:2018:VPPV2TQM45LLVUMVWL5QGQDUVL

not attested not anchored not stored refs pending

Codimension one foliations with numerically trivial canonical class on singular spaces

St\'ephane Druel

arxiv:1809.06905 v1 · 2018-09-18 · 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{VPPV2TQM45LLVUMVWL5QGQDUVL}

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	2026-07-05T05:43:44.017793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdf5d4e0ce756bad195b2fb034074aac02ebffa49e6d3e23cad1e8b4fb5e2f9

Aliases

arxiv: 1809.06905 · arxiv_version: 1809.06905v1 · doi: 10.48550/arxiv.1809.06905 · pith_short_12: VPPV2TQM45LL · pith_short_16: VPPV2TQM45LLVUMV · pith_short_8: VPPV2TQM

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/VPPV2TQM45LLVUMVWL5QGQDUVL \
  | 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: abdf5d4e0ce756bad195b2fb034074aac02ebffa49e6d3e23cad1e8b4fb5e2f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cab38cfd3627416ab9a35de1a49f061a3e6eef88728ce1c85de13808a732298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-18T19:43:30Z",
    "title_canon_sha256": "594259f55718e7e626c556a6a39845274152f9673e37abee7b292160f012aa92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06905",
    "kind": "arxiv",
    "version": 1
  }
}