Pith Number

pith:HD4QUIWE

pith:2025:HD4QUIWE2C7YBENEQZMGUPJSS3

not attested not anchored not stored refs pending

A rationality criterion for real Fano threefolds

Andrea Fanelli, Fr\'ed\'eric Mangolte

arxiv:2507.04012 v1 · 2025-07-05 · 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{HD4QUIWE2C7YBENEQZMGUPJSS3}

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	2026-07-05T11:32:40.809398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38f90a22c4d0bf8091a486586a3d3296fbd1071366b7e32b20bf2b3f4dd4823a

Aliases

arxiv: 2507.04012 · arxiv_version: 2507.04012v1 · doi: 10.48550/arxiv.2507.04012 · pith_short_12: HD4QUIWE2C7Y · pith_short_16: HD4QUIWE2C7YBENE · pith_short_8: HD4QUIWE

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/HD4QUIWE2C7YBENEQZMGUPJSS3 \
  | 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: 38f90a22c4d0bf8091a486586a3d3296fbd1071366b7e32b20bf2b3f4dd4823a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a4c1c33be732461d97254fe69b9aa9a1c544b3f1f494caf656fa654312a456",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-05T11:49:03Z",
    "title_canon_sha256": "0a46e1706a42e4846464af07e45e9cdf357aeb66ba0730dc7a3c1b570e001d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04012",
    "kind": "arxiv",
    "version": 1
  }
}