Pith Number

pith:FF5SGS2K

pith:2017:FF5SGS2KVCKL6DNEWGIYXSOLRH

not attested not anchored not stored refs pending

On Thouless bandwidth formula in the Hofstadter model

Shuang Wu, Stephane Ouvry

arxiv:1703.09634 v1 · 2017-03-28 · math-ph · cond-mat.stat-mech · 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{FF5SGS2KVCKL6DNEWGIYXSOLRH}

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	2026-05-18T00:28:56.131174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297b234b4aa894bf0da4b1918bc9cb89ebaee02f106ffd9df3f7d940ab0b2ae7

Aliases

arxiv: 1703.09634 · arxiv_version: 1703.09634v1 · doi: 10.48550/arxiv.1703.09634 · pith_short_12: FF5SGS2KVCKL · pith_short_16: FF5SGS2KVCKL6DNE · pith_short_8: FF5SGS2K

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/FF5SGS2KVCKL6DNEWGIYXSOLRH \
  | 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: 297b234b4aa894bf0da4b1918bc9cb89ebaee02f106ffd9df3f7d940ab0b2ae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61988ee22f7a14c8e19ff562efb1fd53394e3d35b38b70eb35208ea47f8f3e59",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-03-28T15:35:59Z",
    "title_canon_sha256": "72f21bd6517252eeaff1fbdb8b2deb260f1507f18c8eafed9b75b8fdd8faeade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09634",
    "kind": "arxiv",
    "version": 1
  }
}