Pith Number

pith:RIGWE2MV

pith:2015:RIGWE2MVSU25QWSCTKPXFMMCGA

not attested not anchored not stored refs pending

Spectral Characteristics of the Unitary Critical Almost-Mathieu Operator

Darren C. Ong, Jake Fillman, Zhenghe Zhang

arxiv:1512.07641 v1 · 2015-12-23 · 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{RIGWE2MVSU25QWSCTKPXFMMCGA}

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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.

Cited by

2 papers in Pith

Mobility edges in pseudo-unitary quasiperiodic quantum walks

Absence of Ballistic Transport in Quantum Walks with Asymptotically Reflecting Sites

Receipt and verification

First computed	2026-05-18T00:49:47.185288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a0d6269959535d85a429a9f72b1823016d9e823251368dafe96f068a1e92a64

Aliases

arxiv: 1512.07641 · arxiv_version: 1512.07641v1 · doi: 10.48550/arxiv.1512.07641 · pith_short_12: RIGWE2MVSU25 · pith_short_16: RIGWE2MVSU25QWSC · pith_short_8: RIGWE2MV

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/RIGWE2MVSU25QWSCTKPXFMMCGA \
  | 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: 8a0d6269959535d85a429a9f72b1823016d9e823251368dafe96f068a1e92a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96670cc175b899d08b02cd5820d28fbba3faebd78fb22df4651d35b5979fd898",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-12-23T21:22:39Z",
    "title_canon_sha256": "b51509e54fa11ddf561743874a5bbff6ba1e3bb4fa44794cfc2f9a3dcfb18891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07641",
    "kind": "arxiv",
    "version": 1
  }
}