Pith Number

pith:3K2V4FEU

pith:2011:3K2V4FEUH52PUFYAYTMIJKQG7A

not attested not anchored not stored refs pending

Optimization of quasi-normal eigenvalues for 1-D wave equations in inhomogeneous media; description of optimal structures

Illya M. Karabash

arxiv:1103.4117 v5 · 2011-03-21 · math.SP · math-ph · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3K2V4FEUH52PUFYAYTMIJKQG7A}

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	2026-05-18T03:32:59.097453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab55e14943f74fa1700c4d884aa06f83762f3034f41f5ec4f3379ea52eea6df

Aliases

arxiv: 1103.4117 · arxiv_version: 1103.4117v5 · doi: 10.48550/arxiv.1103.4117 · pith_short_12: 3K2V4FEUH52P · pith_short_16: 3K2V4FEUH52PUFYA · pith_short_8: 3K2V4FEU

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/3K2V4FEUH52PUFYAYTMIJKQG7A \
  | 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: dab55e14943f74fa1700c4d884aa06f83762f3034f41f5ec4f3379ea52eea6df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5221df0a95f91c097fa3f83d95b2e0623cd737a5a193ef51eadcbf20f4779c39",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-03-21T19:29:23Z",
    "title_canon_sha256": "b8d8fa1a38c7786bff7b1e023185caa8c62f11e8546f0ec4d080b8c7b56b1043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4117",
    "kind": "arxiv",
    "version": 5
  }
}