Pith Number

pith:A2CLLSFF

pith:2013:A2CLLSFFYLB4E3DBNMUOLZS3YK

not attested not anchored not stored refs pending

Rigid isotopy classification of real degree-4 planar rational curves with only real nodes (An elementary approach)

Shane D'Mello

arxiv:1307.7456 v1 · 2013-07-29 · 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{A2CLLSFFYLB4E3DBNMUOLZS3YK}

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	2026-05-18T03:17:23.216222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0684b5c8a5c2c3c26c616b28e5e65bc2a1af8366e3cac13956d8a51426197204

Aliases

arxiv: 1307.7456 · arxiv_version: 1307.7456v1 · doi: 10.48550/arxiv.1307.7456 · pith_short_12: A2CLLSFFYLB4 · pith_short_16: A2CLLSFFYLB4E3DB · pith_short_8: A2CLLSFF

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/A2CLLSFFYLB4E3DBNMUOLZS3YK \
  | 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: 0684b5c8a5c2c3c26c616b28e5e65bc2a1af8366e3cac13956d8a51426197204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e35f25de2fba4738817fd4544cb8d6accb20fe6ac1515e743217b6bb4a727a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-29T04:21:04Z",
    "title_canon_sha256": "9fd432b66dbd9623034202ba7bf39b684092d18df92cd8aed5c316ad479a444a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7456",
    "kind": "arxiv",
    "version": 1
  }
}