Pith Number

pith:LKKZ6JNY

pith:2012:LKKZ6JNY7DBJZI64WTOGUDZZQC

not attested not anchored not stored refs pending

Spurious localized highest-frequency modes in Schr\"odinger-type equations solved by finite-difference methods

Taras I. Lakoba

arxiv:1204.2334 v1 · 2012-04-11 · math-ph · math.MP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKKZ6JNY7DBJZI64WTOGUDZZQC}

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	2026-05-18T03:58:12.111400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a959f25b8f8c29ca3dcb4dc6a0f3980ad06517e37158af6c9e9ebdfec4a78ae

Aliases

arxiv: 1204.2334 · arxiv_version: 1204.2334v1 · doi: 10.48550/arxiv.1204.2334 · pith_short_12: LKKZ6JNY7DBJ · pith_short_16: LKKZ6JNY7DBJZI64 · pith_short_8: LKKZ6JNY

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/LKKZ6JNY7DBJZI64WTOGUDZZQC \
  | 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: 5a959f25b8f8c29ca3dcb4dc6a0f3980ad06517e37158af6c9e9ebdfec4a78ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed529edbfc023d6bd310458fea1571df8942e79ea182ccab8649178296835a3f",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-11T04:10:13Z",
    "title_canon_sha256": "49f0509de3da656df4182ef41472cfd3a5833e45300bcc95e9daec2192b02bee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2334",
    "kind": "arxiv",
    "version": 1
  }
}