Pith Number

pith:MBA62EAO

pith:2009:MBA62EAOKEXEYGWWYW3K22ZUXI

not attested not anchored not stored refs pending

An axiomatic approach to the roughness measure of rough sets

Ping Zhu

arxiv:0911.5395 v2 · 2009-11-28 · 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{MBA62EAOKEXEYGWWYW3K22ZUXI}

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	2026-05-18T02:24:46.068185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6041ed100e512e4c1ad6c5b6ad6b34ba19800bc5230fe1e9a2fbdc850fb9a33e

Aliases

arxiv: 0911.5395 · arxiv_version: 0911.5395v2 · doi: 10.48550/arxiv.0911.5395 · pith_short_12: MBA62EAOKEXE · pith_short_16: MBA62EAOKEXEYGWW · pith_short_8: MBA62EAO

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/MBA62EAOKEXEYGWWYW3K22ZUXI \
  | 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: 6041ed100e512e4c1ad6c5b6ad6b34ba19800bc5230fe1e9a2fbdc850fb9a33e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5d0b8630e27413a23d40e1d84834aba4d97f5269d63a8108f7a500bb6fa1789",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2009-11-28T11:07:59Z",
    "title_canon_sha256": "be35faebfd3bd0c4a100a1c70c810e2c5644b0cdbb66f074ca888602f59c973f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5395",
    "kind": "arxiv",
    "version": 2
  }
}