Pith Number

pith:CHOSGKC2

pith:2011:CHOSGKC2I573VOJCSKG33BFSWO

not attested not anchored not stored refs pending

Duality for Koszul Homology over Gorenstein Rings

Claudia Miller, Hamidreza Rahmati, Janet Striuli

arxiv:1112.3064 v1 · 2011-12-13 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHOSGKC2I573VOJCSKG33BFSWO}

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	2026-05-18T04:06:20.292761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11dd23285a477fbab922928dbd84b2b3b0fe6b5651bac7fbbdb8f01d39e7cc7f

Aliases

arxiv: 1112.3064 · arxiv_version: 1112.3064v1 · doi: 10.48550/arxiv.1112.3064 · pith_short_12: CHOSGKC2I573 · pith_short_16: CHOSGKC2I573VOJC · pith_short_8: CHOSGKC2

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/CHOSGKC2I573VOJCSKG33BFSWO \
  | 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: 11dd23285a477fbab922928dbd84b2b3b0fe6b5651bac7fbbdb8f01d39e7cc7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52a3eb7d57ca77b3f096ff69b69bba7790e51101a0c8c2b2fe8f0b2590dfed65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-12-13T22:42:37Z",
    "title_canon_sha256": "20dc3e40b8b75c02a60ec811d1761253b8f697048074d03f2982a5e08e60b44e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3064",
    "kind": "arxiv",
    "version": 1
  }
}