Pith Number

pith:ZOJJNNL5

pith:2024:ZOJJNNL5TNW6C7GA2XYTGRRXIL

not attested not anchored not stored refs pending

On vanishing of higher direct images of the structure sheaf

Ken-ichi Yoshida, Shihoko Ishii

arxiv:2410.15282 v3 · 2024-10-20 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOJJNNL5TNW6C7GA2XYTGRRXIL}

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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

Liftings of ideals in positive characteristic to those in characteristic zero:Surface case

Receipt and verification

First computed	2026-07-05T10:51:26.981710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb9296b57d9b6de17cc0d5f133463742c9cfb590eaf1979ff93564ae38380b12

Aliases

arxiv: 2410.15282 · arxiv_version: 2410.15282v3 · doi: 10.48550/arxiv.2410.15282 · pith_short_12: ZOJJNNL5TNW6 · pith_short_16: ZOJJNNL5TNW6C7GA · pith_short_8: ZOJJNNL5

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/ZOJJNNL5TNW6C7GA2XYTGRRXIL \
  | 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: cb9296b57d9b6de17cc0d5f133463742c9cfb590eaf1979ff93564ae38380b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f118b51a501660b986fdb83f6b17457b0fa53ceb3580355911d9bb31d9edcf74",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-10-20T04:41:35Z",
    "title_canon_sha256": "735eaab33a44cb48646b7f5ef841fdf5d79099a87219628a182226f60ed3b497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.15282",
    "kind": "arxiv",
    "version": 3
  }
}