Pith Number

pith:A4KENYT6

pith:2011:A4KENYT6QECUAJ5MUL7RROBDED

not attested not anchored not stored refs pending

Equiconvergence of spectral decompositions of Hill-Schr\"odinger operators

Boris Mityagin, Plamen Djakov

arxiv:1110.6696 v1 · 2011-10-31 · math.SP · math-ph · math.FA · 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{A4KENYT6QECUAJ5MUL7RROBDED}

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	2026-05-18T04:09:54.790310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071446e27e81054027aca2ff18b82320f91fdc040ae24699bf9c64548a97c2b4

Aliases

arxiv: 1110.6696 · arxiv_version: 1110.6696v1 · doi: 10.48550/arxiv.1110.6696 · pith_short_12: A4KENYT6QECU · pith_short_16: A4KENYT6QECUAJ5M · pith_short_8: A4KENYT6

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/A4KENYT6QECUAJ5MUL7RROBDED \
  | 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: 071446e27e81054027aca2ff18b82320f91fdc040ae24699bf9c64548a97c2b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9d3ad635dbd6949815c0522f2552a0992b069a89788afaa18f39b0f0b20ed77",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-10-31T05:28:40Z",
    "title_canon_sha256": "7bed4fedb3531a5133fcf1d5524bd752c494d63302b87abc9ca497bc106d732e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6696",
    "kind": "arxiv",
    "version": 1
  }
}