Pith Number

pith:VJQJHTJ4

pith:2012:VJQJHTJ4QWNFV4URG4ZCBX7NBC

not attested not anchored not stored refs pending

Frobenius morphisms and derived categories on two dimensional toric Deligne-Mumford stacks

Hokuto Uehara, Ryo Ohkawa

arxiv:1205.6861 v3 · 2012-05-31 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJQJHTJ4QWNFV4URG4ZCBX7NBC}

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	2026-05-18T03:20:56.894636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa6093cd3c859a5af291373220dfed0890878b3cfd277f9e4e8e424c642eb848

Aliases

arxiv: 1205.6861 · arxiv_version: 1205.6861v3 · doi: 10.48550/arxiv.1205.6861 · pith_short_12: VJQJHTJ4QWNF · pith_short_16: VJQJHTJ4QWNFV4UR · pith_short_8: VJQJHTJ4

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/VJQJHTJ4QWNFV4URG4ZCBX7NBC \
  | 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: aa6093cd3c859a5af291373220dfed0890878b3cfd277f9e4e8e424c642eb848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e723d7540f1afaf400d9ac09a50551b4a67b9fc4bd77b0bfcccc3c4fba7d8c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-31T00:32:29Z",
    "title_canon_sha256": "45b2fa3a31052eb94b087c5b36e2f071d12ad15e669b77b135b9814c05f0ed62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6861",
    "kind": "arxiv",
    "version": 3
  }
}