Pith Number

pith:XQH2FYU4

pith:2019:XQH2FYU4IW5FVSPALEXPVS5SUW

not attested not anchored not stored refs pending

On birational trivial families and Adjoint quadrics

Francesco Zucconi, Luca Cesarano, Luca Rizzi

arxiv:1903.06307 v1 · 2019-03-15 · 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{XQH2FYU4IW5FVSPALEXPVS5SUW}

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	2026-05-17T23:51:11.175052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0fa2e29c45ba5ac9e0592efacbb2a5be78b66c4e49506f322905510d4f2452

Aliases

arxiv: 1903.06307 · arxiv_version: 1903.06307v1 · doi: 10.48550/arxiv.1903.06307 · pith_short_12: XQH2FYU4IW5F · pith_short_16: XQH2FYU4IW5FVSPA · pith_short_8: XQH2FYU4

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/XQH2FYU4IW5FVSPALEXPVS5SUW \
  | 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: bc0fa2e29c45ba5ac9e0592efacbb2a5be78b66c4e49506f322905510d4f2452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d637e7995261710cfba7c63943e73817a3a259c5af02f28a5ec1595081383e70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-15T00:34:19Z",
    "title_canon_sha256": "f6c6206d2e75c084e59f78ea3b9e119a74f7c748f130e687da210c6185ef424e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06307",
    "kind": "arxiv",
    "version": 1
  }
}