Pith Number

pith:BPH5JG2N

pith:2013:BPH5JG2N43Z7N55J7OHZ47YIFF

not attested not anchored not stored refs pending

Families of nodal curves in P^r with the expected number of moduli

Claudio Fontanari, Edoardo Ballico, Luca Benzo

arxiv:1306.1854 v3 · 2013-06-07 · 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{BPH5JG2N43Z7N55J7OHZ47YIFF}

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	2026-05-18T02:20:10.860334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bcfd49b4de6f3f6f7a9fb8f9e7f0829555824196426d83a8490e86dd8567e85

Aliases

arxiv: 1306.1854 · arxiv_version: 1306.1854v3 · doi: 10.48550/arxiv.1306.1854 · pith_short_12: BPH5JG2N43Z7 · pith_short_16: BPH5JG2N43Z7N55J · pith_short_8: BPH5JG2N

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/BPH5JG2N43Z7N55J7OHZ47YIFF \
  | 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: 0bcfd49b4de6f3f6f7a9fb8f9e7f0829555824196426d83a8490e86dd8567e85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bfa6b2265b51d90f23fc1d29c5405995bc53b8159ac4a9fcd6faab1a092a936",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-07T22:28:21Z",
    "title_canon_sha256": "492e8f7fd6b01c9767e5ab25ed5d5f7171607d669bf35f8e3f25ca19a90588d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1854",
    "kind": "arxiv",
    "version": 3
  }
}