Pith Number

pith:SG6FFSCQ

pith:2012:SG6FFSCQFCSH7X6QMEEUHYKU3U

not attested not anchored not stored refs pending

Extensions of Perron-Frobenius Theory

Niushan Gao

arxiv:1208.3490 v1 · 2012-08-16 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SG6FFSCQFCSH7X6QMEEUHYKU3U}

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	2026-05-18T03:48:35.094829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91bc52c85028a47fdfd0610943e154dd1e74b1b33e7f2ed562e91e4f8ac2a770

Aliases

arxiv: 1208.3490 · arxiv_version: 1208.3490v1 · doi: 10.48550/arxiv.1208.3490 · pith_short_12: SG6FFSCQFCSH · pith_short_16: SG6FFSCQFCSH7X6Q · pith_short_8: SG6FFSCQ

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/SG6FFSCQFCSH7X6QMEEUHYKU3U \
  | 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: 91bc52c85028a47fdfd0610943e154dd1e74b1b33e7f2ed562e91e4f8ac2a770

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a144b7f36ca3a8c4474dca21fbce541fe750f0877887923ffb2c9dcf15c1254b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-16T20:56:23Z",
    "title_canon_sha256": "bf2888af58370a016c20b0323620790d559450c9f5859b7c8838cc811d55dac5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3490",
    "kind": "arxiv",
    "version": 1
  }
}