Pith Number

pith:SZZ65UEC

pith:2025:SZZ65UECTFGGSZPHEHWWNS76UJ

not attested not anchored not stored refs pending

N\'eron models, minimal models, and birational group actions

J\'anos Koll\'ar

arxiv:2502.13800 v1 · 2025-02-19 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZZ65UECTFGGSZPHEHWWNS76UJ}

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.

Cited by

1 paper in Pith

Higher direct images of dualizing sheaves III

Receipt and verification

First computed	2026-07-05T10:17:00.788949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9673eed082994c6965e721ed66cbfea265600db7a8b46f1f66afc49e7407d880

Aliases

arxiv: 2502.13800 · arxiv_version: 2502.13800v1 · doi: 10.48550/arxiv.2502.13800 · pith_short_12: SZZ65UECTFGG · pith_short_16: SZZ65UECTFGGSZPH · pith_short_8: SZZ65UEC

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/SZZ65UECTFGGSZPHEHWWNS76UJ \
  | 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: 9673eed082994c6965e721ed66cbfea265600db7a8b46f1f66afc49e7407d880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd6a9674da13fbe5c12f4ede96668b0e934fb2b0392c6fc003f0810cc327fffe",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-19T15:11:29Z",
    "title_canon_sha256": "d66fa68a7d62c05a0766ce8e0c274ae79522c71ff6f1797a1659897e2047c6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.13800",
    "kind": "arxiv",
    "version": 1
  }
}