Pith Number

pith:SQM6HUOD

pith:2025:SQM6HUOD4Y4XVM7SCKB6POEP7V

not attested not anchored not stored refs pending

Abelian fiber spaces and their Tate-Shafarevich twists with sections

J\'anos Koll\'ar

arxiv:2504.21705 v1 · 2025-04-30 · 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{SQM6HUOD4Y4XVM7SCKB6POEP7V}

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	2026-07-05T10:56:28.506677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9419e3d1c3e6397ab3f21283e7b88ffd505ad8f17e4a6809f33360644ae767fd

Aliases

arxiv: 2504.21705 · arxiv_version: 2504.21705v1 · doi: 10.48550/arxiv.2504.21705 · pith_short_12: SQM6HUOD4Y4X · pith_short_16: SQM6HUOD4Y4XVM7S · pith_short_8: SQM6HUOD

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/SQM6HUOD4Y4XVM7SCKB6POEP7V \
  | 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: 9419e3d1c3e6397ab3f21283e7b88ffd505ad8f17e4a6809f33360644ae767fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241c439f5ffe59a4685a174dac730f8e097c327d1ebd68f522f0d663c81e5753",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-30T14:47:09Z",
    "title_canon_sha256": "f360ffd7fa169753470ce5f5af3b6b8a9a7037442ed5354c4d77fa4fd4f705e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21705",
    "kind": "arxiv",
    "version": 1
  }
}