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Pith Number

pith:H4QWGT7R

pith:2016:H4QWGT7RM4UMZBJEHM6G7XX4AZ
not attested not anchored not stored refs pending

The Cohen-Macaulay Property of Affine Semigroup Rings in Dimension 2

Grant Serio, Tony Se

arxiv:1602.05843 v1 · 2016-02-18 · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{H4QWGT7RM4UMZBJEHM6G7XX4AZ}

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 2026-05-18T01:20:23.080041Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3f21634ff16728cc85243b3c6fdefc066c3a4cac6e437d330a986aa1c20e148e

Aliases

arxiv: 1602.05843 · arxiv_version: 1602.05843v1 · doi: 10.48550/arxiv.1602.05843 · pith_short_12: H4QWGT7RM4UM · pith_short_16: H4QWGT7RM4UMZBJE · pith_short_8: H4QWGT7R
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/H4QWGT7RM4UMZBJEHM6G7XX4AZ \
  | 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: 3f21634ff16728cc85243b3c6fdefc066c3a4cac6e437d330a986aa1c20e148e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "37adf6cdd1be3239f211ed3c2bff10526c84ff53f104ca7da1b42b87566f5798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-02-18T15:45:04Z",
    "title_canon_sha256": "bb1acaf38c30f659579868f3f7ecd413a0eaec3096356de117eae0f3699741bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05843",
    "kind": "arxiv",
    "version": 1
  }
}