Pith Number

pith:SRKR3WSP

pith:2016:SRKR3WSPIS74QONOHVGILN3MDS

not attested not anchored not stored refs pending

Spectral Properties of Harmonic Toeplitz Operators and Applications to the Perturbed Krein Laplacian

Georgi Raikov, Vincent Bruneau

arxiv:1609.08229 v4 · 2016-09-27 · math.SP · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SRKR3WSPIS74QONOHVGILN3MDS}

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	2026-05-18T00:34:15.757736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94551dda4f44bfc839ae3d4c85b76c1c8ca3eb40e1e53ee8907c86a26bf4cf4e

Aliases

arxiv: 1609.08229 · arxiv_version: 1609.08229v4 · doi: 10.48550/arxiv.1609.08229 · pith_short_12: SRKR3WSPIS74 · pith_short_16: SRKR3WSPIS74QONO · pith_short_8: SRKR3WSP

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/SRKR3WSPIS74QONOHVGILN3MDS \
  | 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: 94551dda4f44bfc839ae3d4c85b76c1c8ca3eb40e1e53ee8907c86a26bf4cf4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30f38962405c21a243f6d83415422460a5449b7630328925c75220a3fd28934",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-09-27T00:32:46Z",
    "title_canon_sha256": "5ee0e96cf9c85535e5c4e3a99824ada1007484b92ed085806e4e5318eaf06a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08229",
    "kind": "arxiv",
    "version": 4
  }
}