Pith Number

pith:IBP5DXRA

pith:2023:IBP5DXRAXVQNNZRFL3HAZLDIEG

not attested not anchored not stored refs pending

On $G$-birational rigidity of del Pezzo surfaces

Egor Yasinsky

arxiv:2301.07055 v3 · 2023-01-17 · 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{IBP5DXRAXVQNNZRFL3HAZLDIEG}

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	2026-05-20T14:03:16.315344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405fd1de20bd60d6e6255ece0cac6821bcc482913186b7e791d18bcef593913c

Aliases

arxiv: 2301.07055 · arxiv_version: 2301.07055v3 · doi: 10.48550/arxiv.2301.07055 · pith_short_12: IBP5DXRAXVQN · pith_short_16: IBP5DXRAXVQNNZRF · pith_short_8: IBP5DXRA

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/IBP5DXRAXVQNNZRFL3HAZLDIEG \
  | 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: 405fd1de20bd60d6e6255ece0cac6821bcc482913186b7e791d18bcef593913c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d4574cc07046be54b7e0d2f7221cffe55cc666b4075f0cb236619eb254eb279",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-01-17T18:16:37Z",
    "title_canon_sha256": "92e13d97ea4dc897fb5a00a4cef3974b530cb17198573bba3b53b436ba54dd1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.07055",
    "kind": "arxiv",
    "version": 3
  }
}