Pith Number

pith:KF3SPEWF

pith:2011:KF3SPEWF67TPQEXW57MN5PPWHH

not attested not anchored not stored refs pending

Thick subcategories over Gorenstein local rings that are locally hypersurfaces on the punctured spectra

Ryo Takahashi

arxiv:1109.3120 v1 · 2011-09-14 · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KF3SPEWF67TPQEXW57MN5PPWHH}

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	2026-05-18T04:13:06.251070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51772792c5f7e6f812f6efd8debdf639d91356eb1104911bf427c9bf1fc926a2

Aliases

arxiv: 1109.3120 · arxiv_version: 1109.3120v1 · doi: 10.48550/arxiv.1109.3120 · pith_short_12: KF3SPEWF67TP · pith_short_16: KF3SPEWF67TPQEXW · pith_short_8: KF3SPEWF

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/KF3SPEWF67TPQEXW57MN5PPWHH \
  | 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: 51772792c5f7e6f812f6efd8debdf639d91356eb1104911bf427c9bf1fc926a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c801d61478ddc89db38c9931f83f1690a08a9c9417038a98e62f65b766097bbd",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-09-14T16:07:20Z",
    "title_canon_sha256": "2b42270c635509aa44611b78e163569e61a0012ff1e7d3fc9ad05aa86444dc97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3120",
    "kind": "arxiv",
    "version": 1
  }
}