Pith Number

pith:POVAVUQX

pith:2014:POVAVUQXJF23UGZIC7LIAR7JDY

not attested not anchored not stored refs pending

Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrodinger operators

Leonid Parnovski, Roman Shterenberg

arxiv:1401.0769 v1 · 2014-01-04 · math-ph · math.AP · 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{POVAVUQXJF23UGZIC7LIAR7JDY}

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	2026-05-18T01:19:03.822581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7baa0ad2174975ba1b2817d68047e91e0742302c6062b6b96c625d9bbdf90b33

Aliases

arxiv: 1401.0769 · arxiv_version: 1401.0769v1 · doi: 10.48550/arxiv.1401.0769 · pith_short_12: POVAVUQXJF23 · pith_short_16: POVAVUQXJF23UGZI · pith_short_8: POVAVUQX

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/POVAVUQXJF23UGZIC7LIAR7JDY \
  | 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: 7baa0ad2174975ba1b2817d68047e91e0742302c6062b6b96c625d9bbdf90b33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9690b2d0566d904b41778762f504d4eb07e72ced7f1c850cb24f250e0b64a365",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-01-04T02:33:40Z",
    "title_canon_sha256": "85345e6c94b735d941113f49e405f941b1e26f093f0048baef2e04672b18fb95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0769",
    "kind": "arxiv",
    "version": 1
  }
}