Pith Number

pith:UXP2E2VM

pith:2026:UXP2E2VMHLQ4ZRIM6RLDR5MMCA

not attested not anchored not stored refs pending

Generalised eigenvector expansion of infinite Toeplitz matrices with absolutely/completely monotone entries

Jacek Wszo{\l}a, Mateusz Kwa\'snicki

arxiv:2606.01986 v1 · 2026-06-01 · math.SP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXP2E2VMHLQ4ZRIM6RLDR5MMCA}

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	2026-06-02T02:05:02.846549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5dfa26aac3ae1ccc50cf45638f58c102e8fe5ca8ce296115fe46717a2154723

Aliases

arxiv: 2606.01986 · arxiv_version: 2606.01986v1 · doi: 10.48550/arxiv.2606.01986 · pith_short_12: UXP2E2VMHLQ4 · pith_short_16: UXP2E2VMHLQ4ZRIM · pith_short_8: UXP2E2VM

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/UXP2E2VMHLQ4ZRIM6RLDR5MMCA \
  | 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: a5dfa26aac3ae1ccc50cf45638f58c102e8fe5ca8ce296115fe46717a2154723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea65860656823362742cb0a42b1343e6a69f5adcc8380b0b74b1a09e0b6a291c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-01T09:46:18Z",
    "title_canon_sha256": "7c2369a29c4d5be0933b5a5c00feda480a62408c9cbfc008d05f07f26dd950af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01986",
    "kind": "arxiv",
    "version": 1
  }
}