Pith Number

pith:HFRA4O4W

pith:2025:HFRA4O4WWSFGY6A5FBCYHBL7CL

not attested not anchored not stored refs pending

Birational Geometry of sextic del Pezzo surfaces

Egor Yasinsky, Elias Kurz

arxiv:2507.21737 v1 · 2025-07-29 · 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{HFRA4O4WWSFGY6A5FBCYHBL7CL}

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	2026-07-05T11:45:05.543747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39620e3b96b48a6c781d284583857f12cdd45c5cb78ee82d2b2c8e9e317e7f53

Aliases

arxiv: 2507.21737 · arxiv_version: 2507.21737v1 · doi: 10.48550/arxiv.2507.21737 · pith_short_12: HFRA4O4WWSFG · pith_short_16: HFRA4O4WWSFGY6A5 · pith_short_8: HFRA4O4W

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/HFRA4O4WWSFGY6A5FBCYHBL7CL \
  | 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: 39620e3b96b48a6c781d284583857f12cdd45c5cb78ee82d2b2c8e9e317e7f53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "010df5c29476d37af480cba5318df932fc6d4a7ff47b532f8ab3be356521b41d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-29T12:15:39Z",
    "title_canon_sha256": "e80cf4a63ff9e0dd0d7849186fee1b9d4d7a653397d0f6626919b7a9e96b1ec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21737",
    "kind": "arxiv",
    "version": 1
  }
}