Pith Number

pith:3DIRVBHR

pith:2012:3DIRVBHRP4N6KFTBPCGTHBCPSU

not attested not anchored not stored refs pending

Matroidal structure of rough sets based on serial and transitive relations

William Zhu, Yanfang Liu

arxiv:1209.4976 v2 · 2012-09-22 · 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{3DIRVBHRP4N6KFTBPCGTHBCPSU}

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	2026-05-18T03:39:43.268122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8d11a84f17f1be51661788d33844f95225299ac9b8274a9e362c71f38400171

Aliases

arxiv: 1209.4976 · arxiv_version: 1209.4976v2 · doi: 10.48550/arxiv.1209.4976 · pith_short_12: 3DIRVBHRP4N6 · pith_short_16: 3DIRVBHRP4N6KFTB · pith_short_8: 3DIRVBHR

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/3DIRVBHRP4N6KFTBPCGTHBCPSU \
  | 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: d8d11a84f17f1be51661788d33844f95225299ac9b8274a9e362c71f38400171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67edff46762bbdb0e3d8de4d1cea27cceb5ed9054576ad349c5196481b24fd6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2012-09-22T09:25:50Z",
    "title_canon_sha256": "649e9183b155ca93084e6bca51304baa28b5998cd7dd8833837c1cbddc6eb519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4976",
    "kind": "arxiv",
    "version": 2
  }
}