Pith Number

pith:YW7JDDMP

pith:2013:YW7JDDMPSPE44UH74HK57DGOFX

not attested not anchored not stored refs pending

Bounds on the spectral radius of nonnegative matrices and applications in graph spectra

Gui-Xian Tian, Shu-Yu Cui

arxiv:1310.5292 v1 · 2013-10-20 · 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{YW7JDDMPSPE44UH74HK57DGOFX}

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	2026-05-18T03:09:46.051419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5be918d8f93c9ce50ffe1d5df8cce2df012b361f43fbbb48a4ac61da2f014ee

Aliases

arxiv: 1310.5292 · arxiv_version: 1310.5292v1 · doi: 10.48550/arxiv.1310.5292 · pith_short_12: YW7JDDMPSPE4 · pith_short_16: YW7JDDMPSPE44UH7 · pith_short_8: YW7JDDMP

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/YW7JDDMPSPE44UH74HK57DGOFX \
  | 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: c5be918d8f93c9ce50ffe1d5df8cce2df012b361f43fbbb48a4ac61da2f014ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec8f7ca536e15fac3ed4e10ff50185ed30127aee55a01226c21a6e02309a6c61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-20T01:57:10Z",
    "title_canon_sha256": "985dcce09e9c92d7aea450be0bc6dfe88df351c564c578a30681a153824c7dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5292",
    "kind": "arxiv",
    "version": 1
  }
}