Pith Number

pith:DOKWAEDL

pith:2014:DOKWAEDLR2HVJZDV3PAOQ5BZBI

not attested not anchored not stored refs pending

Extremal problems for the p-spectral radius of graphs

Liying Kang, Vladimir Nikiforov

arxiv:1402.3239 v2 · 2014-02-13 · 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{DOKWAEDLR2HVJZDV3PAOQ5BZBI}

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	2026-05-18T02:58:56.170868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b9560106b8e8f54e475dbc0e874390a1e810526cb1c6d5ce1b51188516ff444

Aliases

arxiv: 1402.3239 · arxiv_version: 1402.3239v2 · doi: 10.48550/arxiv.1402.3239 · pith_short_12: DOKWAEDLR2HV · pith_short_16: DOKWAEDLR2HVJZDV · pith_short_8: DOKWAEDL

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/DOKWAEDLR2HVJZDV3PAOQ5BZBI \
  | 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: 1b9560106b8e8f54e475dbc0e874390a1e810526cb1c6d5ce1b51188516ff444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66253a4ca3a46b31dbb1f4d3027c78105c42e1c2dbfd8c1f972cdc203af3c907",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-13T18:04:08Z",
    "title_canon_sha256": "7e0feffc5da9c8e386ac8217fe9e33b3dc8695140f096a6705f79cac72dcd5eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3239",
    "kind": "arxiv",
    "version": 2
  }
}