Pith Number

pith:ZDQCW6IO

pith:2025:ZDQCW6IO7WXGKNW7Y3FDJNIX4A

not attested not anchored not stored refs pending

Equivariant rationality of Fano threefolds in the family \textnumero 2.12

Antoine Pinardin, Joseph Malbon, Oliver Li

arxiv:2508.19471 v1 · 2025-08-26 · 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{ZDQCW6IO7WXGKNW7Y3FDJNIX4A}

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	2026-07-05T12:00:12.052995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e02b790efdae6536dfc6ca34b517e02343a5519dbf1ef88a7c6d0ff780e8bf

Aliases

arxiv: 2508.19471 · arxiv_version: 2508.19471v1 · doi: 10.48550/arxiv.2508.19471 · pith_short_12: ZDQCW6IO7WXG · pith_short_16: ZDQCW6IO7WXGKNW7 · pith_short_8: ZDQCW6IO

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/ZDQCW6IO7WXGKNW7Y3FDJNIX4A \
  | 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: c8e02b790efdae6536dfc6ca34b517e02343a5519dbf1ef88a7c6d0ff780e8bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ec70b9f7d88391dde586c8bd7ae8c549a82220c03c72e31d56fc95b29126a2b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-26T23:20:31Z",
    "title_canon_sha256": "5220b5ef2bedf00d34f35869683194fcacc3fe84d7c0c0fee7c55ab562be3f0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.19471",
    "kind": "arxiv",
    "version": 1
  }
}