Pith Number

pith:2F7NQZ2J

pith:2016:2F7NQZ2JTB6XMDKMDYIPXRNVWS

not attested not anchored not stored refs pending

On Gr\"obner Bases and Krull Dimension of Residue Class Rings of Polynomial Rings over Integral Domains

Ambedkar Dukkipati, Maria Francis

arxiv:1602.04300 v4 · 2016-02-13 · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2F7NQZ2JTB6XMDKMDYIPXRNVWS}

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	2026-05-18T00:33:27.873688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d17ed86749987d760d4c1e10fbc5b5b4af288a516aab325c6a2c1b5e2219c175

Aliases

arxiv: 1602.04300 · arxiv_version: 1602.04300v4 · doi: 10.48550/arxiv.1602.04300 · pith_short_12: 2F7NQZ2JTB6X · pith_short_16: 2F7NQZ2JTB6XMDKM · pith_short_8: 2F7NQZ2J

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/2F7NQZ2JTB6XMDKMDYIPXRNVWS \
  | 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: d17ed86749987d760d4c1e10fbc5b5b4af288a516aab325c6a2c1b5e2219c175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595c95c9a88f65638ec69a63f1a56e1b5f8d8c5fc4f716d5e9b160ae48af0a6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2016-02-13T08:11:02Z",
    "title_canon_sha256": "83e578b2222ff917a39ea8a269e601410562614b8d51f8497924ec8f8fb2e1aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04300",
    "kind": "arxiv",
    "version": 4
  }
}