Pith Number

pith:6LKEKNC7

pith:2015:6LKEKNC7MPYSUKTWGIUQEZXDAF

not attested not anchored not stored refs pending

Fractal energy carpets in non-Hermitian Hofstadter quantum mechanics

M. N. Chernodub, Stephane Ouvry

arxiv:1504.02269 v1 · 2015-04-09 · cond-mat.stat-mech · hep-lat · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LKEKNC7MPYSUKTWGIUQEZXDAF}

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	2026-05-18T01:30:24.873542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2d445345f63f12a2a7632290266e3017308c8863f35880599b0e182b83fc05d

Aliases

arxiv: 1504.02269 · arxiv_version: 1504.02269v1 · doi: 10.48550/arxiv.1504.02269 · pith_short_12: 6LKEKNC7MPYS · pith_short_16: 6LKEKNC7MPYSUKTW · pith_short_8: 6LKEKNC7

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/6LKEKNC7MPYSUKTWGIUQEZXDAF \
  | 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: f2d445345f63f12a2a7632290266e3017308c8863f35880599b0e182b83fc05d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6068a8d250a99e95f503af7b826082bb71263baad2634e09bf57d76d451ecaec",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-04-09T11:46:51Z",
    "title_canon_sha256": "f4fc35ee4ff3d01e929e91d9a6d7c93b01c0d0c2440ec20e57c822a1ffc8fe82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02269",
    "kind": "arxiv",
    "version": 1
  }
}