Pith Number

pith:4LBF5QHG

pith:2013:4LBF5QHGIA5NG7PIBSY7WHB35H

not attested not anchored not stored refs pending

On the spectrum and eigenfunctions of the operator $(Vf)(x) = \int_0^{x^\alpha} f(t) dt$

Ignat Domanov

arxiv:1301.4886 v1 · 2013-01-21 · 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{4LBF5QHGIA5NG7PIBSY7WHB35H}

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	2026-05-18T03:35:55.235438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2c25ec0e6403ad37de80cb1fb1c3be9c969f101540cd5f29fc641a26ee084e9

Aliases

arxiv: 1301.4886 · arxiv_version: 1301.4886v1 · doi: 10.48550/arxiv.1301.4886 · pith_short_12: 4LBF5QHGIA5N · pith_short_16: 4LBF5QHGIA5NG7PI · pith_short_8: 4LBF5QHG

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/4LBF5QHGIA5NG7PIBSY7WHB35H \
  | 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: e2c25ec0e6403ad37de80cb1fb1c3be9c969f101540cd5f29fc641a26ee084e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0984487a8b494435132b11d7cce970c44d8c2971de481d478de0057e6484182a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-01-21T14:57:15Z",
    "title_canon_sha256": "21d69314117445f4c375c824e3a6619454f5384b172f0cd591a766ef9c13e526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4886",
    "kind": "arxiv",
    "version": 1
  }
}