Pith Number

pith:RXGKRXKE

pith:2014:RXGKRXKESA3JK3PK4XYNENSY2J

not attested not anchored not stored refs pending

The Colored Hofstadter Butterfly for the Honeycomb Lattice

Andrea Agazzi, Gian Michele Graf, Jean-Pierre Eckmann

arxiv:1403.1270 v1 · 2014-03-05 · math-ph · cond-mat.mes-hall · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXGKRXKESA3JK3PK4XYNENSY2J}

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	2026-05-18T01:44:19.272922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dcca8dd449036956deae5f0d23658d26c2c8df7d43fc38950bce6e335a2e170

Aliases

arxiv: 1403.1270 · arxiv_version: 1403.1270v1 · doi: 10.48550/arxiv.1403.1270 · pith_short_12: RXGKRXKESA3J · pith_short_16: RXGKRXKESA3JK3PK · pith_short_8: RXGKRXKE

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/RXGKRXKESA3JK3PK4XYNENSY2J \
  | 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: 8dcca8dd449036956deae5f0d23658d26c2c8df7d43fc38950bce6e335a2e170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb4b6080cadd8629d1acdfcff085ce24cdde82c19d05acf1647d29f7dde6663",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-03-05T21:04:23Z",
    "title_canon_sha256": "e010cdc9c7b4d9637467309ac42987a64ff9c88602b0b6898fda95cdb35cd2d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1270",
    "kind": "arxiv",
    "version": 1
  }
}