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Pith Number

pith:UDCVUY3Z

pith:2016:UDCVUY3Z4IYJS5CSGA4PB3BNRP
not attested not anchored not stored refs pending

Spectral flow and global topology of the Hofstadter butterfly

Andrea Alberti, Janos K. Asboth

arxiv:1611.07052 v1 · 2016-11-21 · cond-mat.mes-hall

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UDCVUY3Z4IYJS5CSGA4PB3BNRP}

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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

1 paper in Pith

Receipt and verification
First computed 2026-05-18T00:43:29.943849Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a0c55a6379e2309974523038f0ec2d8bebb275cd12696fc0f48586a4faa51dab

Aliases

arxiv: 1611.07052 · arxiv_version: 1611.07052v1 · doi: 10.48550/arxiv.1611.07052 · pith_short_12: UDCVUY3Z4IYJ · pith_short_16: UDCVUY3Z4IYJS5CS · pith_short_8: UDCVUY3Z
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UDCVUY3Z4IYJS5CSGA4PB3BNRP \
  | 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: a0c55a6379e2309974523038f0ec2d8bebb275cd12696fc0f48586a4faa51dab
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "91998f7b45e4ad8aa4e081082a5f8967e91d0c43e49b438b74c83ed970793ad2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2016-11-21T21:03:55Z",
    "title_canon_sha256": "2fce6df40837d8e801909e7b6335af8dfd0bfaecdb7a7a1449e45be698db8d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07052",
    "kind": "arxiv",
    "version": 1
  }
}