Pith Number

pith:7QSTOV7G

pith:2017:7QSTOV7G2A6ESLTDUPE2BUMZMD

not attested not anchored not stored refs pending

Cofactors and eigenvectors of banded Toeplitz matrices: Trench formulas via skew Schur polynomials

Egor A. Maximenko, Mario Alberto Moctezuma-Salazar

arxiv:1705.08067 v2 · 2017-05-23 · math.CO · 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{7QSTOV7G2A6ESLTDUPE2BUMZMD}

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	2026-05-18T00:32:32.502302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc253757e6d03c492e63a3c9a0d19960c174ddcfe0dcacbcb7f592987baa3574

Aliases

arxiv: 1705.08067 · arxiv_version: 1705.08067v2 · doi: 10.48550/arxiv.1705.08067 · pith_short_12: 7QSTOV7G2A6E · pith_short_16: 7QSTOV7G2A6ESLTD · pith_short_8: 7QSTOV7G

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/7QSTOV7G2A6ESLTDUPE2BUMZMD \
  | 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: fc253757e6d03c492e63a3c9a0d19960c174ddcfe0dcacbcb7f592987baa3574

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cafb4f6cedd22b7d4fb0c115a4455f526506d08f941dfae62675257b5850804",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-23T03:32:29Z",
    "title_canon_sha256": "9379f4dc0a7b9b7b8a07799c28b7e26431f39c2841a33d70035a29ccc9ace54f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08067",
    "kind": "arxiv",
    "version": 2
  }
}