Pith Number

pith:ZEO34I6Q

pith:2014:ZEO34I6Q3RNT24PCBYCNXCWUHO

not attested not anchored not stored refs pending

Some Noncommutative Matrix Algebras Arising in the Bispectral Problem

F. Alberto Gr\"unbaum

arxiv:1407.6458 v1 · 2014-07-24 · math.SP · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEO34I6Q3RNT24PCBYCNXCWUHO}

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	2026-05-18T02:46:38.686046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c91dbe23d0dc5b3d71e20e04db8ad43ba9cfb23c41eb8f2fc17539186cdd617a

Aliases

arxiv: 1407.6458 · arxiv_version: 1407.6458v1 · doi: 10.48550/arxiv.1407.6458 · pith_short_12: ZEO34I6Q3RNT · pith_short_16: ZEO34I6Q3RNT24PC · pith_short_8: ZEO34I6Q

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/ZEO34I6Q3RNT24PCBYCNXCWUHO \
  | 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: c91dbe23d0dc5b3d71e20e04db8ad43ba9cfb23c41eb8f2fc17539186cdd617a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7eb0df2274d2b59004bdc53e3f3e2dad16fed171a48a3612f2e935572f3f2e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-07-24T05:37:20Z",
    "title_canon_sha256": "33cce2c5f3a57e356cc7a7d52ec67e5a33ed6c14da559dd74ed95e010248e57a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6458",
    "kind": "arxiv",
    "version": 1
  }
}