Pith Number

pith:3EFMUANQ

pith:2009:3EFMUANQWF72G4S5LLFZVJLNOX

not attested not anchored not stored refs pending

Labeled floor diagrams for plane curves

Grigory Mikhalkin, Sergey Fomin

arxiv:0906.3828 v4 · 2009-06-20 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EFMUANQWF72G4S5LLFZVJLNOX}

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.

Cited by

1 paper in Pith

Quadratically Enriched Plane Curve Counting via Tropical Geometry

Receipt and verification

First computed	2026-07-04T17:19:44.177797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d90aca01b0b17fa3725d5acb9aa56d75cc9b61390b2f5432b0a9a9ea424fd2d7

Aliases

arxiv: 0906.3828 · arxiv_version: 0906.3828v4 · doi: 10.48550/arxiv.0906.3828 · pith_short_12: 3EFMUANQWF72 · pith_short_16: 3EFMUANQWF72G4S5 · pith_short_8: 3EFMUANQ

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/3EFMUANQWF72G4S5LLFZVJLNOX \
  | 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: d90aca01b0b17fa3725d5acb9aa56d75cc9b61390b2f5432b0a9a9ea424fd2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0438e8ddd9be2aea5884ec2239d4197cf1f96f0dfcb70bb0ba9204623d574abc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-20T20:43:26Z",
    "title_canon_sha256": "c07b90a4a973ee0a567686123bf0940f3efc8423dfbb645eeeb35a6ae7a48e26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3828",
    "kind": "arxiv",
    "version": 4
  }
}