Pith Number

pith:JDYAVCW4

pith:2009:JDYAVCW4BYJC6IO4O6WDJSE7VF

not attested not anchored not stored refs pending

Graded Betti numbers of ideals with linear quotients

Leila Sharifan, Matteo Varbaro

arxiv:0901.3088 v2 · 2009-01-20 · 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{JDYAVCW4BYJC6IO4O6WDJSE7VF}

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	2026-05-18T04:12:56.598535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48f00a8adc0e122f21dc77ac34c89fa944e51feab36313a252c2af2a7fcb82f0

Aliases

arxiv: 0901.3088 · arxiv_version: 0901.3088v2 · doi: 10.48550/arxiv.0901.3088 · pith_short_12: JDYAVCW4BYJC · pith_short_16: JDYAVCW4BYJC6IO4 · pith_short_8: JDYAVCW4

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/JDYAVCW4BYJC6IO4O6WDJSE7VF \
  | 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: 48f00a8adc0e122f21dc77ac34c89fa944e51feab36313a252c2af2a7fcb82f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd3251ca684960f0d7d5547a4636dfd59302e7742a8eb0fddcccd0917eebdae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2009-01-20T16:26:53Z",
    "title_canon_sha256": "a58add628c26cb0720876e993bd38add0afa9b1f62bb27951b9ecbd393e5b7ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3088",
    "kind": "arxiv",
    "version": 2
  }
}