Pith Number

pith:L5O4VTCK

pith:2015:L5O4VTCK4NMLYJHFCY35UJG53Y

not attested not anchored not stored refs pending

A Necessary and Sufficient Condition for Existence of a Positive Perron Vector

Liqun Qi, Shenglong Hu

arxiv:1511.07759 v3 · 2015-11-24 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5O4VTCK4NMLYJHFCY35UJG53Y}

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	2026-05-18T01:25:11.020098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5dcacc4ae358bc24e51637da24ddde2c53dd04c8144390d34a6f71fd0985ac

Aliases

arxiv: 1511.07759 · arxiv_version: 1511.07759v3 · doi: 10.48550/arxiv.1511.07759 · pith_short_12: L5O4VTCK4NML · pith_short_16: L5O4VTCK4NMLYJHF · pith_short_8: L5O4VTCK

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/L5O4VTCK4NMLYJHFCY35UJG53Y \
  | 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: 5f5dcacc4ae358bc24e51637da24ddde2c53dd04c8144390d34a6f71fd0985ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c30999b2abe762036c09b2c12deab621a03d091d1033a4008a4a0ff91ac6701d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-24T15:33:18Z",
    "title_canon_sha256": "3985ea2ad20a1b6fb9596fd8f02da4130971ce10f7048d3baf4de4c27458d0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07759",
    "kind": "arxiv",
    "version": 3
  }
}