Pith Number

pith:PETBZRW4

pith:2010:PETBZRW4V7OI7Q7FQV5JXMVF3S

not attested not anchored not stored refs pending

Regularity of Canonical and Deficiency modules for Monomial ideals

Manoj Kummini, Satoshi Murai

arxiv:1006.1444 v1 · 2010-06-08 · 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{PETBZRW4V7OI7Q7FQV5JXMVF3S}

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	2026-05-18T03:39:29.515558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79261cc6dcafdc8fc3e5857a9bb2a5dc83b6c94498bc1e94e51ec4bb201c2eed

Aliases

arxiv: 1006.1444 · arxiv_version: 1006.1444v1 · doi: 10.48550/arxiv.1006.1444 · pith_short_12: PETBZRW4V7OI · pith_short_16: PETBZRW4V7OI7Q7F · pith_short_8: PETBZRW4

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/PETBZRW4V7OI7Q7FQV5JXMVF3S \
  | 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: 79261cc6dcafdc8fc3e5857a9bb2a5dc83b6c94498bc1e94e51ec4bb201c2eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d1d0159b58889a55c7893923c10e57137ff91ed4aef0550f1e1ecb9c5457d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-06-08T03:27:09Z",
    "title_canon_sha256": "34fe924328013c5639d71a42b07089f251b001b6922bdccdfe61c6865683cc3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1444",
    "kind": "arxiv",
    "version": 1
  }
}