Pith Number

pith:N2DEJXIG

pith:2018:N2DEJXIG4XLB5IZXR2LICHMCCB

not attested not anchored not stored refs pending

Universal reflective-hierarchical structure of quasiperiodic eigenfunctions and sharp spectral transition in phase

Svetlana Jitomirskaya, Wencai Liu

arxiv:1802.00781 v1 · 2018-02-02 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2DEJXIG4XLB5IZXR2LICHMCCB}

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	2026-05-18T00:24:32.361817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e8644dd06e5d61ea3378e96811d8210435256ca7941ee58144fcb6f0f2b21ca

Aliases

arxiv: 1802.00781 · arxiv_version: 1802.00781v1 · doi: 10.48550/arxiv.1802.00781 · pith_short_12: N2DEJXIG4XLB · pith_short_16: N2DEJXIG4XLB5IZX · pith_short_8: N2DEJXIG

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/N2DEJXIG4XLB5IZXR2LICHMCCB \
  | 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: 6e8644dd06e5d61ea3378e96811d8210435256ca7941ee58144fcb6f0f2b21ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "060367b0aed45aee7a6e83132299cf263afeb88efc1d1e765f2c0672def20f6e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-02-02T17:29:08Z",
    "title_canon_sha256": "6f4a38bd9f253cd8edaa25281b0e32723f1666089357439c9d40570a0e57e3b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.00781",
    "kind": "arxiv",
    "version": 1
  }
}