Pith Number

pith:7OEC5L6W

pith:2015:7OEC5L6WILRFE7QS46ZME4ZRQM

not attested not anchored not stored refs pending

Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schr\"odinger operators

Shiwen Zhang, Svetlana Jitomirskaya

arxiv:1510.07086 v2 · 2015-10-23 · 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{7OEC5L6WILRFE7QS46ZME4ZRQM}

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	2026-05-18T01:28:13.727760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb882eafd642e2527e12e7b2c2733183022149f6f7fdad284cd1cdc6fe72ccce

Aliases

arxiv: 1510.07086 · arxiv_version: 1510.07086v2 · doi: 10.48550/arxiv.1510.07086 · pith_short_12: 7OEC5L6WILRF · pith_short_16: 7OEC5L6WILRFE7QS · pith_short_8: 7OEC5L6W

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/7OEC5L6WILRFE7QS46ZME4ZRQM \
  | 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: fb882eafd642e2527e12e7b2c2733183022149f6f7fdad284cd1cdc6fe72ccce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a36c8ec93a85b250694d7d27543d27cc5d61c511535e22b0c10390258dd37817",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-10-23T23:19:33Z",
    "title_canon_sha256": "e4b5b0ac8d5b7475791874929826de57a45e5a10e1b67f0fa26c7f04ca285557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07086",
    "kind": "arxiv",
    "version": 2
  }
}