Pith Number

pith:2TWBD4RZ

pith:2011:2TWBD4RZUV3FQHMPU7WFPXTEHD

not attested not anchored not stored refs pending

Rational plane curves parameterizable by conics

Carlos D'Andrea, Teresa Cortadellas Benitez

arxiv:1104.2782 v3 · 2011-04-14 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TWBD4RZUV3FQHMPU7WFPXTEHD}

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	2026-05-18T03:44:13.755072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4ec11f239a576581d8fa7ec57de6438d30eadfd340ed480c0012c2c1010e5e2

Aliases

arxiv: 1104.2782 · arxiv_version: 1104.2782v3 · doi: 10.48550/arxiv.1104.2782 · pith_short_12: 2TWBD4RZUV3F · pith_short_16: 2TWBD4RZUV3FQHMP · pith_short_8: 2TWBD4RZ

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/2TWBD4RZUV3FQHMPU7WFPXTEHD \
  | 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: d4ec11f239a576581d8fa7ec57de6438d30eadfd340ed480c0012c2c1010e5e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b86073aa81f6ae85be894a7512151a59bc570112473bc2766d38c653714425f0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-14T14:46:30Z",
    "title_canon_sha256": "d7affd24e434b763a20b5061de6856f045519bde82b866849aa0227d50b04c5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2782",
    "kind": "arxiv",
    "version": 3
  }
}