Pith Number

pith:CDJUJ7F3

pith:2010:CDJUJ7F322FPBFEYJVFNXH4DRY

not attested not anchored not stored refs pending

Limit-Periodic Schr\"odinger Operators With Uniformly Localized Eigenfunctions

David Damanik, Zheng Gan

arxiv:1003.1695 v3 · 2010-03-08 · math.SP · 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{CDJUJ7F322FPBFEYJVFNXH4DRY}

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	2026-05-18T02:30:16.122780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d344fcbbd68af094984d4adb9f838e1d1a0387ae0dd504257f3cb5a2348b13

Aliases

arxiv: 1003.1695 · arxiv_version: 1003.1695v3 · doi: 10.48550/arxiv.1003.1695 · pith_short_12: CDJUJ7F322FP · pith_short_16: CDJUJ7F322FPBFEY · pith_short_8: CDJUJ7F3

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/CDJUJ7F322FPBFEYJVFNXH4DRY \
  | 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: 10d344fcbbd68af094984d4adb9f838e1d1a0387ae0dd504257f3cb5a2348b13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d7e61c0d5c4ecbd91b8900fb408fd9075444341f1bd0dc4f065a9ef45bc84a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-03-08T18:22:31Z",
    "title_canon_sha256": "6b75e77ace2ab94a43e2ae7f75ef32ebd41be0f3d542c695511eb71f97d7c7ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1695",
    "kind": "arxiv",
    "version": 3
  }
}