Pith Number

pith:5ZNNCYXC

pith:2023:5ZNNCYXCWMUNKFDTFWT6Y7HWHQ

not attested not anchored not stored refs pending

Hofstadter quasicrystals, hidden symmetries and irrational quantum oscillations

Grigor Adamyan, Kirill Kozlov, Leonid Levitov, Mariia Kryvoruchko, Yelizaveta Kulynych

arxiv:2311.16967 v2 · 2023-11-28 · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZNNCYXCWMUNKFDTFWT6Y7HWHQ}

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

Landau levels and magneto-optics in 30$^\circ$ quasi-periodic twisted bilayer graphene

Receipt and verification

First computed	2026-07-05T07:28:31.656763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee5ad162e2b328d514732da7ec7cf63c1f7a4fbddffba28af79c220f3d1df0ff

Aliases

arxiv: 2311.16967 · arxiv_version: 2311.16967v2 · doi: 10.48550/arxiv.2311.16967 · pith_short_12: 5ZNNCYXCWMUN · pith_short_16: 5ZNNCYXCWMUNKFDT · pith_short_8: 5ZNNCYXC

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/5ZNNCYXCWMUNKFDTFWT6Y7HWHQ \
  | 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: ee5ad162e2b328d514732da7ec7cf63c1f7a4fbddffba28af79c220f3d1df0ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a969f62730705a0642bcd1f62ba0858b4fd45ecddd8ce1af0f656a468b653d66",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2023-11-28T17:12:41Z",
    "title_canon_sha256": "922856d45b7fe55eb5a26447a9b5c1b3e36223becd3683a439156040ad4e117c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.16967",
    "kind": "arxiv",
    "version": 2
  }
}