Pith Number

pith:KOPXQBGD

pith:2012:KOPXQBGDIUFN5TEH6NAKKLHMAV

not attested not anchored not stored refs pending

Counting Algebraic Curves with Tropical Geometry

Florian Block

arxiv:1206.1925 v1 · 2012-06-09 · 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{KOPXQBGDIUFN5TEH6NAKKLHMAV}

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	2026-05-18T03:53:53.808716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

539f7804c3450adecc87f340a52cec05523b435b2e816e679439b450e3ba2976

Aliases

arxiv: 1206.1925 · arxiv_version: 1206.1925v1 · doi: 10.48550/arxiv.1206.1925 · pith_short_12: KOPXQBGDIUFN · pith_short_16: KOPXQBGDIUFN5TEH · pith_short_8: KOPXQBGD

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/KOPXQBGDIUFN5TEH6NAKKLHMAV \
  | 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: 539f7804c3450adecc87f340a52cec05523b435b2e816e679439b450e3ba2976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20fdcb328b41c83e157ace4c9a421942caa68b829a7adb742b682471efbe0185",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-09T10:07:05Z",
    "title_canon_sha256": "44f5a686d7ad8ef2b147b797ff161ba826b4322cc9b991a570455e4a434c79a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1925",
    "kind": "arxiv",
    "version": 1
  }
}