Pith Number

pith:JQD5D5ME

pith:2012:JQD5D5MEMW7BVM7QRNKA6ZCESQ

not attested not anchored not stored refs pending

Relationship between the second type of covering-based rough set and matroid via closure operator

William Zhu, Yanfang Liu

arxiv:1210.0772 v1 · 2012-10-02 · 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{JQD5D5MEMW7BVM7QRNKA6ZCESQ}

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	2026-05-18T03:44:14.282188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c07d1f58465be1ab3f08b540f64449405758db873c9ba550aaa955f4a158b81

Aliases

arxiv: 1210.0772 · arxiv_version: 1210.0772v1 · doi: 10.48550/arxiv.1210.0772 · pith_short_12: JQD5D5MEMW7B · pith_short_16: JQD5D5MEMW7BVM7Q · pith_short_8: JQD5D5ME

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/JQD5D5MEMW7BVM7QRNKA6ZCESQ \
  | 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: 4c07d1f58465be1ab3f08b540f64449405758db873c9ba550aaa955f4a158b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97b6e63f123e3183234c028fe7be20dbd70e6ed595c660ccb75b707ee1d8be90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2012-10-02T13:40:23Z",
    "title_canon_sha256": "1b4a7d6e266b34b43ba3d4ab5195ec6a48a9f4d3a9b147f2e7adba631ef6f05c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0772",
    "kind": "arxiv",
    "version": 1
  }
}