Pith Number

pith:CFNRSKRJ

pith:2013:CFNRSKRJWKQ6AFMI2ZZSZ53UWB

not attested not anchored not stored refs pending

A lower bound for the algebraic connectivity of a graph in terms of the domination number

Ying-Ying Tan, Yi-Zheng Fan

arxiv:1310.8533 v1 · 2013-10-31 · 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{CFNRSKRJWKQ6AFMI2ZZSZ53UWB}

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	2026-05-18T03:08:16.724804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

115b192a29b2a1e01588d6732cf774b041681f206eba54d9d6d9250bcb9d3ae6

Aliases

arxiv: 1310.8533 · arxiv_version: 1310.8533v1 · doi: 10.48550/arxiv.1310.8533 · pith_short_12: CFNRSKRJWKQ6 · pith_short_16: CFNRSKRJWKQ6AFMI · pith_short_8: CFNRSKRJ

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/CFNRSKRJWKQ6AFMI2ZZSZ53UWB \
  | 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: 115b192a29b2a1e01588d6732cf774b041681f206eba54d9d6d9250bcb9d3ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01f75fed3e82c457217d7b5398da983a5b2f3454526a3135164a1f23e6d21c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-31T14:57:43Z",
    "title_canon_sha256": "e0cc5f1b1ff580db1020cea54a01e393233361a836cd7638ddd7ee28e434debd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8533",
    "kind": "arxiv",
    "version": 1
  }
}