Pith Number

pith:WWKKDNE2

pith:2013:WWKKDNE2KBR4ZXCEZRGL7HTPWR

not attested not anchored not stored refs pending

Untwisting algebras with van den Bergh duality into Calabi-Yau algebras

Mariano Su\'arez-Alvarez

arxiv:1311.3339 v1 · 2013-11-13 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWKKDNE2KBR4ZXCEZRGL7HTPWR}

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	2026-05-18T03:07:11.741947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b594a1b49a5063ccdc44cc4cbf9e6fb45611f55871690a493b588e7c10d7f7d1

Aliases

arxiv: 1311.3339 · arxiv_version: 1311.3339v1 · doi: 10.48550/arxiv.1311.3339 · pith_short_12: WWKKDNE2KBR4 · pith_short_16: WWKKDNE2KBR4ZXCE · pith_short_8: WWKKDNE2

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/WWKKDNE2KBR4ZXCEZRGL7HTPWR \
  | 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: b594a1b49a5063ccdc44cc4cbf9e6fb45611f55871690a493b588e7c10d7f7d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7067c8f4652c1f6b3ac63e4cc279032b9c161fcd5831282680bb7ad60cc72ac3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-11-13T23:27:23Z",
    "title_canon_sha256": "fcb27dd8176cdc19317f7a6ecd5277d845d8dddeb6fa95b06bab4609a4fa6627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3339",
    "kind": "arxiv",
    "version": 1
  }
}