Pith Number

pith:CSYHOIIA

pith:2011:CSYHOIIABNA7TWTVMPWTI3ZXRL

not attested not anchored not stored refs pending

Quotients of Koszul algebras with almost linear resolution

Jon Eivind Vatne

arxiv:1103.3572 v1 · 2011-03-18 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSYHOIIABNA7TWTVMPWTI3ZXRL}

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	2026-05-18T04:26:32.366286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14b07721000b41f9da7563ed346f378af54dbd04f2da3c3ecb11b109ce19c143

Aliases

arxiv: 1103.3572 · arxiv_version: 1103.3572v1 · doi: 10.48550/arxiv.1103.3572 · pith_short_12: CSYHOIIABNA7 · pith_short_16: CSYHOIIABNA7TWTV · pith_short_8: CSYHOIIA

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/CSYHOIIABNA7TWTVMPWTI3ZXRL \
  | 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: 14b07721000b41f9da7563ed346f378af54dbd04f2da3c3ecb11b109ce19c143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08674fd1cbcaef5efee95fabe1e2df1cd8100b7457137a8563829a1c16cb2b93",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-03-18T08:01:48Z",
    "title_canon_sha256": "063e4d0465b2a0f89a29e2a15b85faf8bd5a0368546744983f2d72d19a3ca02a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3572",
    "kind": "arxiv",
    "version": 1
  }
}