Pith Number

pith:AH7WXV5K

pith:2018:AH7WXV5KM7QCEF3DLQ6DUSIPWM

not attested not anchored not stored refs pending

Counterexamples for Cohen-Macaulayness of Lattice Ideals

Aleksandra Sobieska, Laura Felicia Matusevich

arxiv:1804.03647 v1 · 2018-04-10 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AH7WXV5KM7QCEF3DLQ6DUSIPWM}

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	2026-05-18T00:18:47.376953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01ff6bd7aa67e02217635c3c3a490fb32ff1112eb2ad3d992bdc5b2771a0cb4f

Aliases

arxiv: 1804.03647 · arxiv_version: 1804.03647v1 · doi: 10.48550/arxiv.1804.03647 · pith_short_12: AH7WXV5KM7QC · pith_short_16: AH7WXV5KM7QCEF3D · pith_short_8: AH7WXV5K

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/AH7WXV5KM7QCEF3DLQ6DUSIPWM \
  | 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: 01ff6bd7aa67e02217635c3c3a490fb32ff1112eb2ad3d992bdc5b2771a0cb4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74d4748dd3d911c2a071e22430bc1233e99fc20c27b12c9bdf7aa7fe81304ac7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-04-10T17:51:17Z",
    "title_canon_sha256": "2f2e848af44170d8c5962f5bed68c2068649791119b6fa8dc95df73308513fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03647",
    "kind": "arxiv",
    "version": 1
  }
}