Pith Number

pith:BTJR4CAH

pith:2013:BTJR4CAHGXXMHETBAFOUZEVYW6

not attested not anchored not stored refs pending

Duality and Tilting for Commutative DG Rings

Amnon Yekutieli

arxiv:1312.6411 v4 · 2013-12-22 · math.AG · math.AC · 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{BTJR4CAHGXXMHETBAFOUZEVYW6}

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

4 papers in Pith

Derived complete intersections and polynomial growth of Betti numbers over dg-algebras

Global dimension of dg algebras via compact silting objects

Quasi-Gorenstein morphisms of commutative local dg-algebras

Receipt and verification

First computed	2026-05-18T01:18:28.364120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cd31e080735eec39261015d4c92b8b7b7f8f89137b189e16133317a1f26259b

Aliases

arxiv: 1312.6411 · arxiv_version: 1312.6411v4 · doi: 10.48550/arxiv.1312.6411 · pith_short_12: BTJR4CAHGXXM · pith_short_16: BTJR4CAHGXXMHETB · pith_short_8: BTJR4CAH

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/BTJR4CAHGXXMHETBAFOUZEVYW6 \
  | 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: 0cd31e080735eec39261015d4c92b8b7b7f8f89137b189e16133317a1f26259b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e543a722593ef4857b1159b9cb6195b0cf964f8514e139decc560e28d6dedc",
    "cross_cats_sorted": [
      "math.AC",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-22T18:32:36Z",
    "title_canon_sha256": "59560fd5fc9aa0c81963955cd86f2b74c3dc5b8013bf41ba66e7682e85d10014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6411",
    "kind": "arxiv",
    "version": 4
  }
}