Pith Number

pith:NXX6EERO

pith:2012:NXX6EERODTEXYJUY6JE7PRVWTN

not attested not anchored not stored refs pending

Generalized Measures of Edge Fault Tolerance in (n,k)-star Graphs

Jun-Ming Xu, Xiang-jun Li

arxiv:1204.0573 v1 · 2012-04-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXX6EERODTEXYJUY6JE7PRVWTN}

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	2026-05-18T03:58:39.086683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6defe2122e1cc97c2698f249f7c6b69b6f3b0bb58ccc852df5e55d4d597c8925

Aliases

arxiv: 1204.0573 · arxiv_version: 1204.0573v1 · doi: 10.48550/arxiv.1204.0573 · pith_short_12: NXX6EERODTEX · pith_short_16: NXX6EERODTEXYJUY · pith_short_8: NXX6EERO

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/NXX6EERODTEXYJUY6JE7PRVWTN \
  | 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: 6defe2122e1cc97c2698f249f7c6b69b6f3b0bb58ccc852df5e55d4d597c8925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff762d97fa9c68b24caa458adcf5b6f42d32b954616baa32c8dab9ca8d2ef61a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-03T02:17:44Z",
    "title_canon_sha256": "7c3f3a220182ee4ec55dcbc3f727d7322bd8133977d42540f74e5ac594ddb378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0573",
    "kind": "arxiv",
    "version": 1
  }
}