Pith Number

pith:GZC6IF2I

pith:2014:GZC6IF2IT6G63VLWU4JYMA4YPH

not attested not anchored not stored refs pending

Higher order self-adjoint operators with polynomial coefficients

A. Laradji, H. Azad, M. T. Mustafa

arxiv:1409.2523 v1 · 2014-09-08 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZC6IF2IT6G63VLWU4JYMA4YPH}

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	2026-05-18T02:43:10.346776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3645e417489f8dedd576a71386039879c77b3635c6d7f5b8f334a167ec5ec6f1

Aliases

arxiv: 1409.2523 · arxiv_version: 1409.2523v1 · doi: 10.48550/arxiv.1409.2523 · pith_short_12: GZC6IF2IT6G6 · pith_short_16: GZC6IF2IT6G63VLW · pith_short_8: GZC6IF2I

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/GZC6IF2IT6G63VLWU4JYMA4YPH \
  | 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: 3645e417489f8dedd576a71386039879c77b3635c6d7f5b8f334a167ec5ec6f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66366803e2ccedd20b13d537bf0c92f5b955fa39e88287b5267ba7ce2d2d158f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-08T20:53:30Z",
    "title_canon_sha256": "7320fd245f30bb21f3658b39f962806dbb5243173260ce13ef7f9b3abe75c13a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2523",
    "kind": "arxiv",
    "version": 1
  }
}