Pith Number

pith:GREFTPXJ

pith:2025:GREFTPXJ2VB2UIP3DLEBW5RKJI

not attested not anchored not stored refs pending

K3 surfaces of any Artin-Mazur height over $\mathbb{F}_5$ and $\mathbb{F}_7$ via quasi-$F$-split singularities and GPU acceleration

Alex Pan, Jack J Garzella, Ryan Batubara

arxiv:2502.12428 v3 · 2025-02-18 · math.AG · math.AC · 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{GREFTPXJ2VB2UIP3DLEBW5RKJI}

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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

Quasi-$F$-singularities and singularities in birational geometry

Receipt and verification

First computed	2026-07-05T11:35:32.204349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344859bee9d543aa21fb1ac81b762a4a1781ef073187d8347ed7b707aec373dc

Aliases

arxiv: 2502.12428 · arxiv_version: 2502.12428v3 · doi: 10.48550/arxiv.2502.12428 · pith_short_12: GREFTPXJ2VB2 · pith_short_16: GREFTPXJ2VB2UIP3 · pith_short_8: GREFTPXJ

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/GREFTPXJ2VB2UIP3DLEBW5RKJI \
  | 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: 344859bee9d543aa21fb1ac81b762a4a1781ef073187d8347ed7b707aec373dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1d46e8c2079d80b04e0f60240d44ae40546b54df0c8afa60ae0e4960b7009a",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-18T01:56:25Z",
    "title_canon_sha256": "fdf232c1eb6ae804ed94bcc7dadf4dd23005f15d17059e1470ab713c097cc035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.12428",
    "kind": "arxiv",
    "version": 3
  }
}