Pith Number

pith:WF7N6MKS

pith:2019:WF7N6MKSYOHVZKDCRF5S4SM7BH

not attested not anchored not stored refs pending

Minimal degree equations for curves and surfaces (variations on a theme of Halphen)

Edoardo Ballico, Emanuele Ventura

arxiv:1906.08117 v1 · 2019-06-19 · 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{WF7N6MKSYOHVZKDCRF5S4SM7BH}

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	2026-05-17T23:42:54.547542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b17edf3152c38f5ca862897b2e499f09ca1ea2cb865f027b5175eb6fa3a5af3b

Aliases

arxiv: 1906.08117 · arxiv_version: 1906.08117v1 · doi: 10.48550/arxiv.1906.08117 · pith_short_12: WF7N6MKSYOHV · pith_short_16: WF7N6MKSYOHVZKDC · pith_short_8: WF7N6MKS

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/WF7N6MKSYOHVZKDCRF5S4SM7BH \
  | 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: b17edf3152c38f5ca862897b2e499f09ca1ea2cb865f027b5175eb6fa3a5af3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d8c5f46492bed7028b8390b099f7505a51f312996d878bfd8e244567d75d7d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-19T14:32:37Z",
    "title_canon_sha256": "235197ea782a0491773a211c3829ad4062651e7c0cd7f90b43be3c5fe5259c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08117",
    "kind": "arxiv",
    "version": 1
  }
}