Pith Number

pith:CITHXY3U

pith:2018:CITHXY3UHKHIZA4IEFBV72EDAN

not attested not anchored not stored refs pending

Commutative rings with every non-maximal ideal finitely generated

Souvik Dey

arxiv:1806.03735 v4 · 2018-06-10 · 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{CITHXY3UHKHIZA4IEFBV72EDAN}

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	2026-05-18T00:11:17.166869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12267be3743a8e8c838821435fe8830359de8fd8971073ec286046e639c700f3

Aliases

arxiv: 1806.03735 · arxiv_version: 1806.03735v4 · doi: 10.48550/arxiv.1806.03735 · pith_short_12: CITHXY3UHKHI · pith_short_16: CITHXY3UHKHIZA4I · pith_short_8: CITHXY3U

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/CITHXY3UHKHIZA4IEFBV72EDAN \
  | 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: 12267be3743a8e8c838821435fe8830359de8fd8971073ec286046e639c700f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72565cdfd5ef2f838dc89d3f40d23964155ace48c0fec83606e9fda0b849e8a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-06-10T22:23:38Z",
    "title_canon_sha256": "1daec52da2d9f317814aa6945e0a0bc160ade4aaec63c28970cfb15e1c85b69b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.03735",
    "kind": "arxiv",
    "version": 4
  }
}