Pith Number

pith:W2LMFAIP

pith:2016:W2LMFAIPV5UU7OB3OUFTPDBY75

not attested not anchored not stored refs pending

On Delta Sets and their Realizable Subsets in Krull Monoids with Cyclic Class Groups

Felix Gotti, Roberto Pelayo, Scott T. Chapman

arxiv:1609.02737 v1 · 2016-09-09 · 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{W2LMFAIPV5UU7OB3OUFTPDBY75}

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	2026-05-18T01:04:51.376367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b696c2810faf694fb83b750b378c38ff575dd533db69f5d5d8ca50393a6542f7

Aliases

arxiv: 1609.02737 · arxiv_version: 1609.02737v1 · doi: 10.48550/arxiv.1609.02737 · pith_short_12: W2LMFAIPV5UU · pith_short_16: W2LMFAIPV5UU7OB3 · pith_short_8: W2LMFAIP

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/W2LMFAIPV5UU7OB3OUFTPDBY75 \
  | 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: b696c2810faf694fb83b750b378c38ff575dd533db69f5d5d8ca50393a6542f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a74be9b559bd6738ba98fd6ea2bd25eaedbe246bd133d8c0346df51b3f537c29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-09-09T10:38:25Z",
    "title_canon_sha256": "e2d3ebfeb770ce4772a57036a9df9f5871c03b3fb2d5e3e4b39c772b7a5f2f4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02737",
    "kind": "arxiv",
    "version": 1
  }
}