Pith Number

pith:R4IEZDFO

pith:2009:R4IEZDFOKNK2XG7RBQNGA3F5ZE

not attested not anchored not stored refs pending

Spectral reciprocity and matrix representations of unbounded operators

Erin P. J. Pearse, Palle E. T. Jorgensen

arxiv:0911.0185 v3 · 2009-11-02 · math.FA · math-ph · math.MP · 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{R4IEZDFOKNK2XG7RBQNGA3F5ZE}

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	2026-05-18T04:30:26.518682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f104c8cae5355ab9bf10c1a606cbdc93698d28ebbb532b39a2d68d4a409cf19

Aliases

arxiv: 0911.0185 · arxiv_version: 0911.0185v3 · doi: 10.48550/arxiv.0911.0185 · pith_short_12: R4IEZDFOKNK2 · pith_short_16: R4IEZDFOKNK2XG7R · pith_short_8: R4IEZDFO

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/R4IEZDFOKNK2XG7RBQNGA3F5ZE \
  | 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: 8f104c8cae5355ab9bf10c1a606cbdc93698d28ebbb532b39a2d68d4a409cf19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78d88c94aa7c112d706d49456ca607077bd3b6db1f7495c168aef62b7dd089a2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-11-02T14:14:13Z",
    "title_canon_sha256": "06b84e1deb8e70ac1b37965ec834efed2f8b250caa287cce35df338d34a35681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0185",
    "kind": "arxiv",
    "version": 3
  }
}