Pith Number

pith:7RMT6QOF

pith:2013:7RMT6QOFQ5OFTTF5FC4MCUREBZ

not attested not anchored not stored refs pending

Anderson Localization for the Almost Mathieu Operator in Exponential Regime

Wencai Liu, Xiaoping Yuan

arxiv:1311.0490 v1 · 2013-11-03 · 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{7RMT6QOFQ5OFTTF5FC4MCUREBZ}

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	2026-05-18T00:17:55.694260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc593f41c5875c59ccbd28b8c152240e75fa1f01520c32c96c9c6b9ffcc43378

Aliases

arxiv: 1311.0490 · arxiv_version: 1311.0490v1 · doi: 10.48550/arxiv.1311.0490 · pith_short_12: 7RMT6QOFQ5OF · pith_short_16: 7RMT6QOFQ5OFTTF5 · pith_short_8: 7RMT6QOF

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/7RMT6QOFQ5OFTTF5FC4MCUREBZ \
  | 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: fc593f41c5875c59ccbd28b8c152240e75fa1f01520c32c96c9c6b9ffcc43378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f97f28bd9687e53545e0af540f900def654975f0abe1d6af141f547653aea433",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-11-03T16:31:38Z",
    "title_canon_sha256": "15b3b0beced9e2dfd2296108f39d624cf0678a0c9950e36d6ae0b99d2d03b265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0490",
    "kind": "arxiv",
    "version": 1
  }
}