Pith Number

pith:WANA65JH

pith:2016:WANA65JHNOZ6F5AD4VXRWHBR2Y

not attested not anchored not stored refs pending

On fault tolerance of (n,k)-star networks

Jun-Ming Xu, Xiang-jun Li, Yong-ni Guan, Zheng Yan

arxiv:1611.06460 v1 · 2016-11-20 · 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{WANA65JHNOZ6F5AD4VXRWHBR2Y}

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	2026-05-18T00:57:36.734843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b01a0f75276bb3e2f403e56f1b1c31d6110c554daf41f47cdc17692ecde960aa

Aliases

arxiv: 1611.06460 · arxiv_version: 1611.06460v1 · doi: 10.48550/arxiv.1611.06460 · pith_short_12: WANA65JHNOZ6 · pith_short_16: WANA65JHNOZ6F5AD · pith_short_8: WANA65JH

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/WANA65JHNOZ6F5AD4VXRWHBR2Y \
  | 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: b01a0f75276bb3e2f403e56f1b1c31d6110c554daf41f47cdc17692ecde960aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7570665783681030163f0ab56fabbe9b5b3f8aeff92d6594fe9f062c8880afe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-20T01:43:10Z",
    "title_canon_sha256": "e44e1bd4424e977b93c3ebc62ff404c25ea48d28aa2d1a3c9782c229e011b8c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06460",
    "kind": "arxiv",
    "version": 1
  }
}