Pith Number

pith:EY63J7EC

pith:2011:EY63J7EC5WFZDFYODE2KSZXMWG

not attested not anchored not stored refs pending

The Bondage Number of Mesh Networks

Fu-Tao Hu, Jun-Ming Xu, Yong-Chang Cao

arxiv:1109.3927 v1 · 2011-09-19 · 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{EY63J7EC5WFZDFYODE2KSZXMWG}

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	2026-05-18T04:12:45.576456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

263db4fc82ed8b91970e1934a966ecb1840ec9809aebfe8af46edfe5ca77ceae

Aliases

arxiv: 1109.3927 · arxiv_version: 1109.3927v1 · doi: 10.48550/arxiv.1109.3927 · pith_short_12: EY63J7EC5WFZ · pith_short_16: EY63J7EC5WFZDFYO · pith_short_8: EY63J7EC

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/EY63J7EC5WFZDFYODE2KSZXMWG \
  | 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: 263db4fc82ed8b91970e1934a966ecb1840ec9809aebfe8af46edfe5ca77ceae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "461c61754cf1149e31348466a4fd7f8ca2fb17b8f192f90253572b6acacc3cf1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-19T02:34:40Z",
    "title_canon_sha256": "ab7662c4732454d42fa10356065a0065bc4b01b91e599d7c1f8cd8cbff2f021a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3927",
    "kind": "arxiv",
    "version": 1
  }
}