Pith Number

pith:NAPOOZN6

pith:2012:NAPOOZN6ESIGS4C2BI2YZ7WX4K

not attested not anchored not stored refs pending

Schrodinger operators with slowly decaying Wigner--von Neumann type potentials

Milivoje Lukic

arxiv:1201.4840 v2 · 2012-01-23 · math.SP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAPOOZN6ESIGS4C2BI2YZ7WX4K}

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	2026-05-18T03:50:22.926214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681ee765be249069705a0a358cfed7e295213771409e0faeafeae95d0d987125

Aliases

arxiv: 1201.4840 · arxiv_version: 1201.4840v2 · doi: 10.48550/arxiv.1201.4840 · pith_short_12: NAPOOZN6ESIG · pith_short_16: NAPOOZN6ESIGS4C2 · pith_short_8: NAPOOZN6

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/NAPOOZN6ESIGS4C2BI2YZ7WX4K \
  | 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: 681ee765be249069705a0a358cfed7e295213771409e0faeafeae95d0d987125

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6d1f7980ac6205fee3135969685d5ff7156b7752673e72221102cef80260250",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-01-23T19:59:44Z",
    "title_canon_sha256": "eb6eb98f2a6047134b015046b3b4ae581ace15f4911169c6d6ddb1ea7b36432d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4840",
    "kind": "arxiv",
    "version": 2
  }
}