Pith Number

pith:K24TDRPH

pith:2021:K24TDRPH2T56Z5H55Y6FAIQTUA

not attested not anchored not stored refs pending

Fractal Spectrum of the Aubry-Andre Model

Ang-Kun Wu

arxiv:2109.07062 v2 · 2021-09-15 · cond-mat.dis-nn · cond-mat.str-el

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K24TDRPH2T56Z5H55Y6FAIQTUA}

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.

Cited by

1 paper in Pith

Anderson Localization: A Floquet operator Krylov space perspective

Receipt and verification

First computed	2026-07-05T03:16:41.861426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56b931c5e7d4fbecf4fdee3c502213a031faa0f7aae5e66e8f4cec83674856f1

Aliases

arxiv: 2109.07062 · arxiv_version: 2109.07062v2 · doi: 10.48550/arxiv.2109.07062 · pith_short_12: K24TDRPH2T56 · pith_short_16: K24TDRPH2T56Z5H5 · pith_short_8: K24TDRPH

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/K24TDRPH2T56Z5H55Y6FAIQTUA \
  | 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: 56b931c5e7d4fbecf4fdee3c502213a031faa0f7aae5e66e8f4cec83674856f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1c1cdd6365afeec72266a706d0609ae2b114b6f488d415471051303c945f94",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2021-09-15T03:22:52Z",
    "title_canon_sha256": "018d1caa6a3013dfacdbf0c4293726996c93e2a0369e36cecee3ad1eb0dee102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.07062",
    "kind": "arxiv",
    "version": 2
  }
}