Pith Number

pith:B6COJEMB

pith:2014:B6COJEMBVIBEU77EOC2M3QK4LV

not attested not anchored not stored refs pending

The spectral radius of the square of graphs

Long Wang, Yi-Zheng Fan

arxiv:1404.7286 v1 · 2014-04-29 · 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{B6COJEMBVIBEU77EOC2M3QK4LV}

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	2026-05-18T02:52:56.989831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f84e49181aa024a7fe470b4cdc15c5d7ee2afb9cd9ebd872550dd3e4c336f00

Aliases

arxiv: 1404.7286 · arxiv_version: 1404.7286v1 · doi: 10.48550/arxiv.1404.7286 · pith_short_12: B6COJEMBVIBE · pith_short_16: B6COJEMBVIBEU77E · pith_short_8: B6COJEMB

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/B6COJEMBVIBEU77EOC2M3QK4LV \
  | 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: 0f84e49181aa024a7fe470b4cdc15c5d7ee2afb9cd9ebd872550dd3e4c336f00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbfea7d55328f0ceb02f7ae24c243d6850c79030f2bc760549086b8b47841ca4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-29T09:25:55Z",
    "title_canon_sha256": "259a5a863171c0b03173ac84fd91b56740dee845a91cd75b177ebde5241715cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7286",
    "kind": "arxiv",
    "version": 1
  }
}