Pith Number

pith:VRLF2ZTN

pith:2022:VRLF2ZTN67V7F52TTY5AOPCLNY

not attested not anchored not stored refs pending

Enhanced Auslander-Reiten duality and Morita theorem for singularity categories

Norihiro Hanihara, Osamu Iyama

arxiv:2209.14090 v3 · 2022-09-28 · math.RT · math.AC · math.AG · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRLF2ZTN67V7F52TTY5AOPCLNY}

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

Non-commutative crepant resolutions of toric singularities with divisor class group of rank one

Receipt and verification

First computed	2026-07-05T09:19:50.169631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac565d666df7ebf2f7539e3a073c4b6e1bc89a6e86468eab87cc0c560d62e7e7

Aliases

arxiv: 2209.14090 · arxiv_version: 2209.14090v3 · doi: 10.48550/arxiv.2209.14090 · pith_short_12: VRLF2ZTN67V7 · pith_short_16: VRLF2ZTN67V7F52T · pith_short_8: VRLF2ZTN

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/VRLF2ZTN67V7F52TTY5AOPCLNY \
  | 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: ac565d666df7ebf2f7539e3a073c4b6e1bc89a6e86468eab87cc0c560d62e7e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9f8f6b064e85a4f34740e563b326b953e29f6a37690845ccadeb9b723c6aae5",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG",
      "math.CT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-09-28T13:34:38Z",
    "title_canon_sha256": "96b93d2881ea0511126d05158822f0ea4f41b9ae7cecc8b6b607aa20e7277565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.14090",
    "kind": "arxiv",
    "version": 3
  }
}