Pith Number

pith:C227E3UY

pith:2016:C227E3UY4U5Y7LGZDFDHG6DYRV

not attested not anchored not stored refs pending

On the spectral Hausdorff dimension of 1D discrete Schr\"odinger operators under power decaying perturbations

C\'esar R. de Oliveira, Silas L. Carvalho, Vanderlea R. Bazao

arxiv:1604.08542 v1 · 2016-04-28 · math-ph · 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{C227E3UY4U5Y7LGZDFDHG6DYRV}

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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	2026-05-18T01:16:03.729065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b5f26e98e53b8facd919467378788d7d10a9eaf641f9b0fc4c79e7fabfba5b

Aliases

arxiv: 1604.08542 · arxiv_version: 1604.08542v1 · doi: 10.48550/arxiv.1604.08542 · pith_short_12: C227E3UY4U5Y · pith_short_16: C227E3UY4U5Y7LGZ · pith_short_8: C227E3UY

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/C227E3UY4U5Y7LGZDFDHG6DYRV \
  | 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: 16b5f26e98e53b8facd919467378788d7d10a9eaf641f9b0fc4c79e7fabfba5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91294bacbbdd8c013f3fea77493ed1302be41987aec3a962a6c8b8fb058d8141",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-04-28T18:16:28Z",
    "title_canon_sha256": "d2e01f6bd977b203b5fb6bace82edf76d4e989c810cb2e588583f9994f714cff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08542",
    "kind": "arxiv",
    "version": 1
  }
}