Pith Number

pith:NNIKSNOI

pith:2016:NNIKSNOIVHYTWAF7E5FJMXHUOG

not attested not anchored not stored refs pending

Spectral theory of extended Harper's model and a question by Erd\H{o}s and Szekeres

A. Avila, C. A. Marx, S. Jitomirskaya

arxiv:1602.05111 v2 · 2016-02-16 · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNIKSNOIVHYTWAF7E5FJMXHUOG}

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	2026-05-18T00:33:23.974557Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b50a935c8a9f13b00bf274a965cf471b9817be197e35f01af4759c07f0c5ba8

Aliases

arxiv: 1602.05111 · arxiv_version: 1602.05111v2 · doi: 10.48550/arxiv.1602.05111 · pith_short_12: NNIKSNOIVHYT · pith_short_16: NNIKSNOIVHYTWAF7 · pith_short_8: NNIKSNOI

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/NNIKSNOIVHYTWAF7E5FJMXHUOG \
  | 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: 6b50a935c8a9f13b00bf274a965cf471b9817be197e35f01af4759c07f0c5ba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca2f50682078130f000b6bffc30285bfc42315ee0ab20e8c3245a689cce80cff",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-16T17:52:22Z",
    "title_canon_sha256": "01bcdb63fa1b74c9632c1e79c2eedd6e1abc2e0983023b42e7ae7df95d0a91a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05111",
    "kind": "arxiv",
    "version": 2
  }
}