Pith Number

pith:CTRARI2N

pith:2010:CTRARI2NDFUTP3NAQMJE46LTRI

not attested not anchored not stored refs pending

Universal Polynomials for Severi Degrees of Toric Surfaces

Federico Ardila, Florian Block

arxiv:1012.5305 v2 · 2010-12-23 · 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{CTRARI2NDFUTP3NAQMJE46LTRI}

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	2026-05-18T03:56:46.315222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e208a34d196937eda083124e79738a2d6dd3d48c5b7540485a3a0b814e8764

Aliases

arxiv: 1012.5305 · arxiv_version: 1012.5305v2 · doi: 10.48550/arxiv.1012.5305 · pith_short_12: CTRARI2NDFUT · pith_short_16: CTRARI2NDFUTP3NA · pith_short_8: CTRARI2N

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/CTRARI2NDFUTP3NAQMJE46LTRI \
  | 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: 14e208a34d196937eda083124e79738a2d6dd3d48c5b7540485a3a0b814e8764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "134ae295c8a53603d2927a1c3da648fabe4811b8a52f57bb4366d82ea8b5c63a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-23T21:17:11Z",
    "title_canon_sha256": "76f37417290b61854f31d2fd875d982369e709ebbc76d128e0e041003aaf8fa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5305",
    "kind": "arxiv",
    "version": 2
  }
}