Pith Number

pith:2UJYWJ3O

pith:2024:2UJYWJ3O355KADJMKU5EL3RNXA

not attested not anchored not stored refs pending

F-characteristic cycle of a rank one sheaf on an arithmetic surface

Ryosuke Ooe

arxiv:2402.06163 v4 · 2024-02-09 · 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{2UJYWJ3O355KADJMKU5EL3RNXA}

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	2026-05-20T14:03:17.334653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5138b276edf7aa00d2c553a45ee2db823e3b4fa5a9a49d731df37455bc1a129

Aliases

arxiv: 2402.06163 · arxiv_version: 2402.06163v4 · doi: 10.48550/arxiv.2402.06163 · pith_short_12: 2UJYWJ3O355K · pith_short_16: 2UJYWJ3O355KADJM · pith_short_8: 2UJYWJ3O

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/2UJYWJ3O355KADJMKU5EL3RNXA \
  | 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: d5138b276edf7aa00d2c553a45ee2db823e3b4fa5a9a49d731df37455bc1a129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa49c344e3dd99778b256a46a63e40f31fff20379e2821c01f15e8fcdd24297",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-02-09T03:34:31Z",
    "title_canon_sha256": "8cdb59e5a8a7a9a653ed2cbe26e630cadbc33e547aecd91a70fe4680b60c438c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.06163",
    "kind": "arxiv",
    "version": 4
  }
}