Pith Number

pith:JYNJVVLG

pith:2017:JYNJVVLGAGXBSENDBU3DKIAKSV

not attested not anchored not stored refs pending

Hofstadter point spectrum trace and the Almost Mathieu operator

Shuang Wu, St\'ephane OUVRY, Stephan Wagner

arxiv:1711.03900 v1 · 2017-11-10 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYNJVVLGAGXBSENDBU3DKIAKSV}

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	2026-05-18T00:09:19.335654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e1a9ad56601ae1911a30d3635200a957b38645d86e38d36f10ee4a264972aab

Aliases

arxiv: 1711.03900 · arxiv_version: 1711.03900v1 · doi: 10.48550/arxiv.1711.03900 · pith_short_12: JYNJVVLGAGXB · pith_short_16: JYNJVVLGAGXBSEND · pith_short_8: JYNJVVLG

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/JYNJVVLGAGXBSENDBU3DKIAKSV \
  | 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: 4e1a9ad56601ae1911a30d3635200a957b38645d86e38d36f10ee4a264972aab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9a27f44c8e95d3e0ff92a49c7e5f450de1bdc5699985b59be50ede60411d804",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-10T16:06:49Z",
    "title_canon_sha256": "d0cd83129125cb5bfd2f3f19309b6fd2b3d227d4262c53f363e3f97030b05031"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03900",
    "kind": "arxiv",
    "version": 1
  }
}