Pith Number

pith:5DHBUIZQ

pith:2016:5DHBUIZQNAJH7HI7C74NYIXCJS

not attested not anchored not stored refs pending

Nonlinear left and right eigenvectors for max-preserving maps

Bj\"orn S. R\"uffer

arxiv:1609.06217 v1 · 2016-09-20 · math.OC · 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{5DHBUIZQNAJH7HI7C74NYIXCJS}

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	2026-05-18T01:04:16.390727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8ce1a233068127f9d1f17f8dc22e24cab75133f0dba8373cbcc48e12ba26b78

Aliases

arxiv: 1609.06217 · arxiv_version: 1609.06217v1 · doi: 10.48550/arxiv.1609.06217 · pith_short_12: 5DHBUIZQNAJH · pith_short_16: 5DHBUIZQNAJH7HI7 · pith_short_8: 5DHBUIZQ

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/5DHBUIZQNAJH7HI7C74NYIXCJS \
  | 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: e8ce1a233068127f9d1f17f8dc22e24cab75133f0dba8373cbcc48e12ba26b78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20956cb9cb68b790138697ecc5f3f23c80b1452f52c6a53f8a5b912d0212767d",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-20T15:16:19Z",
    "title_canon_sha256": "1c4c1a9458594a31c84cd23d3985a24b79486e70670b9d0d6626c3082eed66e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06217",
    "kind": "arxiv",
    "version": 1
  }
}