Pith Number

pith:D64KVYWG

pith:2010:D64KVYWG76X4FCK3ZJG4FWEJQ3

not attested not anchored not stored refs pending

Cohen--Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals

J. Hong, K. Ozeki, L. Ghezzi, S. Goto, T.T. Phuong, W.V. Vasconcelos

arxiv:1002.0391 v1 · 2010-02-02 · 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{D64KVYWG76X4FCK3ZJG4FWEJQ3}

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	2026-05-18T02:58:02.419246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fb8aae2c6ffafc2895bca4dc2d88986ed4c29b4401d501466f16558fc47f319

Aliases

arxiv: 1002.0391 · arxiv_version: 1002.0391v1 · doi: 10.48550/arxiv.1002.0391 · pith_short_12: D64KVYWG76X4 · pith_short_16: D64KVYWG76X4FCK3 · pith_short_8: D64KVYWG

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/D64KVYWG76X4FCK3ZJG4FWEJQ3 \
  | 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: 1fb8aae2c6ffafc2895bca4dc2d88986ed4c29b4401d501466f16558fc47f319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a035a3a163823cf8b9d32aeaf2349e30912f96874ae2a130050591c09e90e4c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-02-02T03:44:09Z",
    "title_canon_sha256": "a836c801fee4ec452ae0351ebaf378ccb494e143c8b5f737b0e872c396797abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0391",
    "kind": "arxiv",
    "version": 1
  }
}