Pith Number

pith:PG7NCPVL

pith:1996:PG7NCPVLR5UQP5POGUQ3I3YIFI

not attested not anchored not stored refs pending

Hofstadter Rules and Generalized Dimensions of the Spectrum of Harper's Equation

Andreas Rudinger, Frederic Piechon

arxiv:cond-mat/9610177 v1 · 1996-10-24 · 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{PG7NCPVLR5UQP5POGUQ3I3YIFI}

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	2026-05-18T01:07:09.187534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79bed13eab8f6907f5ee3521b46f082a0e3c918efe6c7d1bea10cc7c9349dbdd

Aliases

arxiv: cond-mat/9610177 · arxiv_version: cond-mat/9610177v1 · doi: 10.48550/arxiv.cond-mat/9610177 · pith_short_12: PG7NCPVLR5UQ · pith_short_16: PG7NCPVLR5UQP5PO · pith_short_8: PG7NCPVL

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/PG7NCPVLR5UQP5POGUQ3I3YIFI \
  | 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: 79bed13eab8f6907f5ee3521b46f082a0e3c918efe6c7d1bea10cc7c9349dbdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6ec50312857f2ed583ae6ac066b65de37e4e44d56cb5662ad7b1240470419d4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "1996-10-24T13:34:46Z",
    "title_canon_sha256": "2d63c80c1e2111a29e8ed7cff37409253658310d828e4e0e414e12572f548d3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9610177",
    "kind": "arxiv",
    "version": 1
  }
}