Pith Number

pith:GQJNXVKB

pith:2017:GQJNXVKBCE5KOQYQGZY2Z24OGO

not attested not anchored not stored refs pending

The finiteness dimension of modules and relative Cohen-Macaulayness

Kh. Ahmadi Amoli, M. Mast Zohouri

arxiv:1702.00175 v2 · 2017-02-01 · 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{GQJNXVKBCE5KOQYQGZY2Z24OGO}

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	2026-05-18T00:08:48.680967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3412dbd541113aa743103671aceb8e33ae7486dcd767e09b86063c293761c13a

Aliases

arxiv: 1702.00175 · arxiv_version: 1702.00175v2 · doi: 10.48550/arxiv.1702.00175 · pith_short_12: GQJNXVKBCE5K · pith_short_16: GQJNXVKBCE5KOQYQ · pith_short_8: GQJNXVKB

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/GQJNXVKBCE5KOQYQGZY2Z24OGO \
  | 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: 3412dbd541113aa743103671aceb8e33ae7486dcd767e09b86063c293761c13a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a68654885baf03d24b2a10cfa8332861b51b63d5b3730793877eeb848125bc74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-02-01T09:40:16Z",
    "title_canon_sha256": "821c186e546732eaf12ac728353bf84cf23d89a43158bc89988685c2ef04f782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00175",
    "kind": "arxiv",
    "version": 2
  }
}