Pith Number

pith:5HNLLICS

pith:2011:5HNLLICSD4ETM4ZLKAMOSGM7JA

not attested not anchored not stored refs pending

Maximum spectral radius of graphs with given connectivity and minimum degree

Hongliang Lu, Yuqing Lin

arxiv:1107.5359 v1 · 2011-07-27 · 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{5HNLLICSD4ETM4ZLKAMOSGM7JA}

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	2026-05-18T04:16:52.197469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9dab5a0521f0936732b5018e9199f482c7a92d7e251b6c61907085f0c7f46e4

Aliases

arxiv: 1107.5359 · arxiv_version: 1107.5359v1 · doi: 10.48550/arxiv.1107.5359 · pith_short_12: 5HNLLICSD4ET · pith_short_16: 5HNLLICSD4ETM4ZL · pith_short_8: 5HNLLICS

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/5HNLLICSD4ETM4ZLKAMOSGM7JA \
  | 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: e9dab5a0521f0936732b5018e9199f482c7a92d7e251b6c61907085f0c7f46e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a1e74466a0c8a4e0932cdcff99956bd15b66e7b6a0ed72c11203ae100d4d4e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-27T00:47:42Z",
    "title_canon_sha256": "63d9f0bd39a2284fff285bbd1a0bf2fc35ab1b7516fe7f5318e4e20907527861"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5359",
    "kind": "arxiv",
    "version": 1
  }
}