Pith Number

pith:SFNVJT6O

pith:2015:SFNVJT6OEPTSTBTYSUAS65FM5I

not attested not anchored not stored refs pending

Vertex maps on graphs -- Perron-Frobenius Theory

Chris Bernhardt

arxiv:1507.04558 v1 · 2015-07-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFNVJT6OEPTSTBTYSUAS65FM5I}

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	2026-05-18T01:36:44.298513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

915b54cfce23e729867895012f74acea03c0a6b89599db3a14293a2014f12456

Aliases

arxiv: 1507.04558 · arxiv_version: 1507.04558v1 · doi: 10.48550/arxiv.1507.04558 · pith_short_12: SFNVJT6OEPTS · pith_short_16: SFNVJT6OEPTSTBTY · pith_short_8: SFNVJT6O

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/SFNVJT6OEPTSTBTYSUAS65FM5I \
  | 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: 915b54cfce23e729867895012f74acea03c0a6b89599db3a14293a2014f12456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7235979c98e16214a3469248b773ddc34d5a6b0c9a3fbff922263c384c4e9abd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-16T13:14:15Z",
    "title_canon_sha256": "e90d6a68f91dd3644152d765bb125d7eac54369f56345b92c0c2e39a92756084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04558",
    "kind": "arxiv",
    "version": 1
  }
}