Pith Number

pith:NCR57G53

pith:2012:NCR57G53OJSXQXIGVXLUGOLUMB

not attested not anchored not stored refs pending

Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem

Boris Vainberg, Evgeny Lakshtanov

arxiv:1212.6785 v4 · 2012-12-30 · math-ph · math.AP · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCR57G53OJSXQXIGVXLUGOLUMB}

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	2026-05-18T01:52:22.724777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68a3df9bbb7265785d06add743397460533430dd27bff28816e9c11433ee4b3e

Aliases

arxiv: 1212.6785 · arxiv_version: 1212.6785v4 · doi: 10.48550/arxiv.1212.6785 · pith_short_12: NCR57G53OJSX · pith_short_16: NCR57G53OJSXQXIG · pith_short_8: NCR57G53

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/NCR57G53OJSXQXIGVXLUGOLUMB \
  | 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: 68a3df9bbb7265785d06add743397460533430dd27bff28816e9c11433ee4b3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f64a28e0c92e13c234cd3a94ab7cb1945d911344b4a633779aeb2fd44c8169f",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-30T22:16:04Z",
    "title_canon_sha256": "6bcb246df6971b9de34f9e035eb7c7f516a3b82eca90b769afe9ca63077ca495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6785",
    "kind": "arxiv",
    "version": 4
  }
}