Pith Number

pith:FGVJIDII

pith:2019:FGVJIDIIQ3BLUOYGWYIPP4VDYA

not attested not anchored not stored refs pending

Nests and Chains of Hofstadter Butterflies

Indubala I. Satija, Michael Wilkinson

arxiv:1908.08470 v1 · 2019-08-22 · nlin.CD · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGVJIDIIQ3BLUOYGWYIPP4VDYA}

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	2026-07-05T00:41:35.846617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29aa940d0886c2ba3b06b610f7f2a3c03f364761cb33865a5d4a652bc315b2ea

Aliases

arxiv: 1908.08470 · arxiv_version: 1908.08470v1 · doi: 10.48550/arxiv.1908.08470 · pith_short_12: FGVJIDIIQ3BL · pith_short_16: FGVJIDIIQ3BLUOYG · pith_short_8: FGVJIDII

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/FGVJIDIIQ3BLUOYGWYIPP4VDYA \
  | 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: 29aa940d0886c2ba3b06b610f7f2a3c03f364761cb33865a5d4a652bc315b2ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d963f0bf6d489793c4c861eac1d9500ce39292dc7035bc1d1bc04ccbb214546f",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2019-08-22T16:02:19Z",
    "title_canon_sha256": "108ffc9f3cb97db41eb653014d845c7930646f37240d35c757643cca488ca3d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08470",
    "kind": "arxiv",
    "version": 1
  }
}