Pith Number

pith:DNRYMWGR

pith:2017:DNRYMWGRDRV6DAXGKLPBYDTKPT

not attested not anchored not stored refs pending

On the Spectrum of Multi-Frequency Quasiperiodic Schr\"odinger Operators with Large Coupling

Michael Goldstein, Mircea Voda, Wilhelm Schlag

arxiv:1708.09711 v1 · 2017-08-31 · math.SP · 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{DNRYMWGRDRV6DAXGKLPBYDTKPT}

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	2026-05-18T00:36:15.690572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b638658d11c6be182e652de1c0e6a7cd8fe9e1c2ae7f8e501b75ed47f3f91cd

Aliases

arxiv: 1708.09711 · arxiv_version: 1708.09711v1 · doi: 10.48550/arxiv.1708.09711 · pith_short_12: DNRYMWGRDRV6 · pith_short_16: DNRYMWGRDRV6DAXG · pith_short_8: DNRYMWGR

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/DNRYMWGRDRV6DAXGKLPBYDTKPT \
  | 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: 1b638658d11c6be182e652de1c0e6a7cd8fe9e1c2ae7f8e501b75ed47f3f91cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea824169e3aae3296a071e19da595953c774333ae84c8cc38065d2a299f1bad1",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-08-31T13:54:44Z",
    "title_canon_sha256": "83ad27cc415581f9a41a0fe294c9f334a75fc601467458ae2bf5be8df63e7830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09711",
    "kind": "arxiv",
    "version": 1
  }
}