Pith Number

pith:VT76KC5J

pith:2012:VT76KC5J5BGUZT4NAPNDWF3XQW

not attested not anchored not stored refs pending

Conditional Fault Diagnosis of Bubble Sort Graphs under the PMC Model

Jian Wang, Jun-Ming Xu, Shuming Zhou, Xirong Xu

arxiv:1204.4250 v1 · 2012-04-19 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VT76KC5J5BGUZT4NAPNDWF3XQW}

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	2026-05-18T03:57:28.034668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acffe50ba9e84d4ccf8d03da3b17778599fa1b71fd6978f956a3f3ab928861e9

Aliases

arxiv: 1204.4250 · arxiv_version: 1204.4250v1 · doi: 10.48550/arxiv.1204.4250 · pith_short_12: VT76KC5J5BGU · pith_short_16: VT76KC5J5BGUZT4N · pith_short_8: VT76KC5J

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/VT76KC5J5BGUZT4NAPNDWF3XQW \
  | 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: acffe50ba9e84d4ccf8d03da3b17778599fa1b71fd6978f956a3f3ab928861e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f4d6e18be20e70bcab1ad05d10b0ab475c2ee2269b9a6e33997a95ba5ef4ed4",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-19T05:06:19Z",
    "title_canon_sha256": "61b341bcb4e0b093a64ed03b98a3bb8c20e54b689818c25f18dc9ababd7ea42e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4250",
    "kind": "arxiv",
    "version": 1
  }
}