Pith Number

pith:KF5GAGBT

pith:2011:KF5GAGBTWDRZHQ4LYW4FRDNIPK

not attested not anchored not stored refs pending

A note on the geometric simplicity of the spectral radius of nonnegative irreducible tensors

Qingzhi Yang, Yuning Yang

arxiv:1101.2479 v2 · 2011-01-13 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KF5GAGBTWDRZHQ4LYW4FRDNIPK}

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	2026-05-18T04:00:16.037994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

517a601833b0e393c38bc5b8588da87a9f10b0233328e52fcff1c324f6f9307a

Aliases

arxiv: 1101.2479 · arxiv_version: 1101.2479v2 · doi: 10.48550/arxiv.1101.2479 · pith_short_12: KF5GAGBTWDRZ · pith_short_16: KF5GAGBTWDRZHQ4L · pith_short_8: KF5GAGBT

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/KF5GAGBTWDRZHQ4LYW4FRDNIPK \
  | 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: 517a601833b0e393c38bc5b8588da87a9f10b0233328e52fcff1c324f6f9307a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fce54d2f63819c1ac5e36641209571a0ea464627d7fd8bf3c940683e797cab4d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-01-13T03:11:25Z",
    "title_canon_sha256": "20ac2d597582249a87cac4e53aff582189493f181ff7a72c060f0736962ab742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2479",
    "kind": "arxiv",
    "version": 2
  }
}