Pith Number

pith:UJCQ6G33

pith:2018:UJCQ6G33OX4MFCWLKQT5CNTDED

not attested not anchored not stored refs pending

A note on the $A_{\alpha}$-spectral radius of graphs

Huiqiu Lin, Jie Xue, Xing Huang

arxiv:1805.05808 v1 · 2018-05-15 · 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{UJCQ6G33OX4MFCWLKQT5CNTDED}

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	2026-05-18T00:15:53.617873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2450f1b7b75f8c28acb5427d1366320f587323f0b16e1bfed4bf49b2d28c676

Aliases

arxiv: 1805.05808 · arxiv_version: 1805.05808v1 · doi: 10.48550/arxiv.1805.05808 · pith_short_12: UJCQ6G33OX4M · pith_short_16: UJCQ6G33OX4MFCWL · pith_short_8: UJCQ6G33

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/UJCQ6G33OX4MFCWLKQT5CNTDED \
  | 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: a2450f1b7b75f8c28acb5427d1366320f587323f0b16e1bfed4bf49b2d28c676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fbe9ae9815ea5ff8301378abd9865301ea015d2252d84021772d9f606544773",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-15T14:31:47Z",
    "title_canon_sha256": "6f67b7b67fd481c6b675b066fe507f1c960c92407d98a80d04c1721654561468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05808",
    "kind": "arxiv",
    "version": 1
  }
}