Pith Number

pith:MKE76FZU

pith:2012:MKE76FZUFKAHM2SJCDO63OUKUO

not attested not anchored not stored refs pending

Relation matroid and its relationship with generalized rough set based on relation

William Zhu, Yanfang Liu

arxiv:1209.5456 v2 · 2012-09-24 · 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{MKE76FZUFKAHM2SJCDO63OUKUO}

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	2026-05-18T03:39:43.261654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6289ff17342a80766a4910ddedba8aa3ab36e9641fe0516644b7e9fe6ff75acb

Aliases

arxiv: 1209.5456 · arxiv_version: 1209.5456v2 · doi: 10.48550/arxiv.1209.5456 · pith_short_12: MKE76FZUFKAH · pith_short_16: MKE76FZUFKAHM2SJ · pith_short_8: MKE76FZU

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/MKE76FZUFKAHM2SJCDO63OUKUO \
  | 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: 6289ff17342a80766a4910ddedba8aa3ab36e9641fe0516644b7e9fe6ff75acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b3307728f3adef64312af61acf6963e47d5f00d03b67ecb82fe4de4aaf1e7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2012-09-24T23:42:09Z",
    "title_canon_sha256": "969a0df279d86c5a82723f76d17893504398297f2489d085bf17763378e95437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5456",
    "kind": "arxiv",
    "version": 2
  }
}