Pith Number

pith:UH4JSZOF

pith:2018:UH4JSZOF2M5VLYIW37O77PSH75

not attested not anchored not stored refs pending

Singular continuous spectrum and generic full spectral/packing dimension for unbounded quasiperiodic Schr\"odinger operators

Fan Yang, Shiwen Zhang

arxiv:1804.10732 v1 · 2018-04-28 · 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{UH4JSZOF2M5VLYIW37O77PSH75}

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	2026-05-17T23:39:49.019597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f89965c5d33b55e116dfddffbe47ff42eaef5ddbbf6ca9aeeba94fa7585e4a

Aliases

arxiv: 1804.10732 · arxiv_version: 1804.10732v1 · doi: 10.48550/arxiv.1804.10732 · pith_short_12: UH4JSZOF2M5V · pith_short_16: UH4JSZOF2M5VLYIW · pith_short_8: UH4JSZOF

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/UH4JSZOF2M5VLYIW37O77PSH75 \
  | 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: a1f89965c5d33b55e116dfddffbe47ff42eaef5ddbbf6ca9aeeba94fa7585e4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f109a99878e977254cae4d9f17a4f5c5641fff9f1ef2f96af8e17d403528a9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-04-28T03:45:16Z",
    "title_canon_sha256": "28e501ef32e238ccd14c73909d95f14fbcb478e30141256be7f858dd786439e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10732",
    "kind": "arxiv",
    "version": 1
  }
}