Pith Number

pith:YTRJ5QQQ

pith:2015:YTRJ5QQQYTYNA6SETLVFDOM44Y

not attested not anchored not stored refs pending

The almost mobility edge in the almost Mathieu equation

Akash V. Maharaj, Chao-Ming Jian, Daniel Bulmash, Steven A. Kivelson, Yi Zhang

arxiv:1504.05205 v2 · 2015-04-20 · cond-mat.mes-hall · 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{YTRJ5QQQYTYNA6SETLVFDOM44Y}

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.

Cited by

1 paper in Pith

From generating functions to the geometric Binder cumulant

Receipt and verification

First computed	2026-05-18T01:37:48.868278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4e29ec210c4f0d07a449aea51b99ce6229da11664b9a7baed918712a01266f9

Aliases

arxiv: 1504.05205 · arxiv_version: 1504.05205v2 · doi: 10.48550/arxiv.1504.05205 · pith_short_12: YTRJ5QQQYTYN · pith_short_16: YTRJ5QQQYTYNA6SE · pith_short_8: YTRJ5QQQ

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/YTRJ5QQQYTYNA6SETLVFDOM44Y \
  | 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: c4e29ec210c4f0d07a449aea51b99ce6229da11664b9a7baed918712a01266f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9f684d91e3ee2487e1b6cb73cbd21b61f9ec598af0e770a9888e688d81f05a8",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2015-04-20T20:03:13Z",
    "title_canon_sha256": "5f0cbf5461be08c2365ccef8577dc4d5a0c28d823bc08e9cb0612e16e992e10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05205",
    "kind": "arxiv",
    "version": 2
  }
}