Pith Number

pith:CSQOP4FU

pith:2015:CSQOP4FUEJ2HAFNBL3CXQK7ZCM

not attested not anchored not stored refs pending

Heuristic algorithms for finding distribution reducts in probabilistic rough set model

Guoyin Wang, Hong Yu, Xi'ao Ma

arxiv:1512.07162 v1 · 2015-12-22 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CSQOP4FUEJ2HAFNBL3CXQK7ZCM}

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	2026-05-18T01:23:52.753716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a0e7f0b422747015a15ec5782bf9133b782401164029225e371011aa04345d

Aliases

arxiv: 1512.07162 · arxiv_version: 1512.07162v1 · doi: 10.48550/arxiv.1512.07162 · pith_short_12: CSQOP4FUEJ2H · pith_short_16: CSQOP4FUEJ2HAFNB · pith_short_8: CSQOP4FU

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/CSQOP4FUEJ2HAFNBL3CXQK7ZCM \
  | 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: 14a0e7f0b422747015a15ec5782bf9133b782401164029225e371011aa04345d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8958e0edb9b79ce529ab265340582898d93dcb0b09da118bd1b30558749f6445",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2015-12-22T17:17:45Z",
    "title_canon_sha256": "ae4358ccf3747980e4ad85c31abf9d032f1ef035a117d777e977d7cc56d21c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07162",
    "kind": "arxiv",
    "version": 1
  }
}