Pith Number

pith:JAB5EHYV

pith:2013:JAB5EHYVGZQXT56F24UOX25ZZJ

not attested not anchored not stored refs pending

Wigner-von Neumann type perturbations of periodic Schr\"odinger Operators

Darren C. Ong, Milivoje Lukic

arxiv:1305.6124 v1 · 2013-05-27 · 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{JAB5EHYVGZQXT56F24UOX25ZZJ}

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	2026-05-18T03:24:52.157595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4803d21f15366179f7c5d728ebebb9ca6424c31a2e6476d0df1c52a62a8bd823

Aliases

arxiv: 1305.6124 · arxiv_version: 1305.6124v1 · doi: 10.48550/arxiv.1305.6124 · pith_short_12: JAB5EHYVGZQX · pith_short_16: JAB5EHYVGZQXT56F · pith_short_8: JAB5EHYV

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/JAB5EHYVGZQXT56F24UOX25ZZJ \
  | 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: 4803d21f15366179f7c5d728ebebb9ca6424c31a2e6476d0df1c52a62a8bd823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7642ec378e8d88c69e6c0a1a4522feeec77e4cad7850ac40a28909ada4419c5a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-05-27T06:50:49Z",
    "title_canon_sha256": "f074f968cc3380cd25c34451ceed29fce6456518817b5f2fb9632640d26960ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6124",
    "kind": "arxiv",
    "version": 1
  }
}