Pith Number

pith:74FD7IDN

pith:2015:74FD7IDNLJ4PKWSINRNFX5WWYX

not attested not anchored not stored refs pending

Glazman-Krein-Naimark Theory, Left-Definite Theory and the Square of the Legendre Polynomials Differential Operator

Lance L. Littlejohn, Quinn Wicks

arxiv:1510.07337 v1 · 2015-10-26 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{74FD7IDNLJ4PKWSINRNFX5WWYX}

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	2026-05-18T01:29:14.322189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff0a3fa06d5a78f55a486c5a5bf6d6c5fd76b693b222e636b0621137a311754d

Aliases

arxiv: 1510.07337 · arxiv_version: 1510.07337v1 · doi: 10.48550/arxiv.1510.07337 · pith_short_12: 74FD7IDNLJ4P · pith_short_16: 74FD7IDNLJ4PKWSI · pith_short_8: 74FD7IDN

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/74FD7IDNLJ4PKWSINRNFX5WWYX \
  | 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: ff0a3fa06d5a78f55a486c5a5bf6d6c5fd76b693b222e636b0621137a311754d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4a3cb25c99662b3d7a1b47c780be8567ed71276a7551bab7981c7e6a698c21b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-10-26T00:39:46Z",
    "title_canon_sha256": "2ece0e27d9c91dd11cfa9c57c53ec5db2346ee0c1ef726afd4f7c0b200ba18ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07337",
    "kind": "arxiv",
    "version": 1
  }
}