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Pith Number

pith:22WBN3AM

pith:2019:22WBN3AMZ6X5G3EXYJ66URV5NQ
not attested not anchored not stored refs pending

Perron and Frobenius meet Carath\'{e}odory

Alexandr Polyanskii, M\'arton Nasz\'odi

arxiv:1901.00540 v1 · 2019-01-02 · math.MG · math.HO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{22WBN3AMZ6X5G3EXYJ66URV5NQ}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T03:43:33.785443Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d6ac16ec0ccfafd36c97c27dea46bd6c3ce65bd86f6b54cc399fb36f97ff4d1a

Aliases

arxiv: 1901.00540 · arxiv_version: 1901.00540v1 · doi: 10.48550/arxiv.1901.00540 · pith_short_12: 22WBN3AMZ6X5 · pith_short_16: 22WBN3AMZ6X5G3EX · pith_short_8: 22WBN3AM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/22WBN3AMZ6X5G3EXYJ66URV5NQ \
  | 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: d6ac16ec0ccfafd36c97c27dea46bd6c3ce65bd86f6b54cc399fb36f97ff4d1a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a1530eabe95e3c1bbfd5e41352df4d1a8ef57c8886e06ebd267eeb5163ff82b8",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-01-02T21:54:23Z",
    "title_canon_sha256": "4a476ec6db457ba65a926d1b28fa3e4ce6bf4f9ebc4b6f519c8111221c7dbb96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00540",
    "kind": "arxiv",
    "version": 1
  }
}