Pith Number

pith:VARBJ5IM

pith:2017:VARBJ5IM4CNVHYF4JHLPHT2PQO

not attested not anchored not stored refs pending

Spectral Theory of one-channel operators and application to absolutely continuous spectrum for Anderson type models

Christian Sadel

arxiv:1703.08055 v3 · 2017-03-23 · math-ph · math.FA · math.MP · math.PR · 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{VARBJ5IM4CNVHYF4JHLPHT2PQO}

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	2026-05-18T00:21:28.605548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82214f50ce09b53e0bc49d6f3cf4f8380887188cc29a8951f8647582d5f8777

Aliases

arxiv: 1703.08055 · arxiv_version: 1703.08055v3 · doi: 10.48550/arxiv.1703.08055 · pith_short_12: VARBJ5IM4CNV · pith_short_16: VARBJ5IM4CNVHYF4 · pith_short_8: VARBJ5IM

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/VARBJ5IM4CNVHYF4JHLPHT2PQO \
  | 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: a82214f50ce09b53e0bc49d6f3cf4f8380887188cc29a8951f8647582d5f8777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc245e5b79cf713629cb30d95137163d8f70352e491ce3741248673cea099f39",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-03-23T13:03:15Z",
    "title_canon_sha256": "20ed5a4b7d774491f55fbbf0e6bd1ecd09341d4351f8ec67ed2c47b9688530de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08055",
    "kind": "arxiv",
    "version": 3
  }
}