Pith Number

pith:CUASFSIR

pith:2011:CUASFSIRXKK5DHQRODMYF67PA2

not attested not anchored not stored refs pending

Remarks on interior transmission eigenvalues, Weyl formula and branching billiards

Boris Vainberg, Evgeny Lakshtanov

arxiv:1112.0891 v3 · 2011-12-05 · math-ph · math.DS · 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{CUASFSIRXKK5DHQRODMYF67PA2}

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	2026-05-18T01:59:17.182042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

150122c911ba95d19e1170d982fbef069c9da81e7ffe6fa4e1ddfe28d8808f35

Aliases

arxiv: 1112.0891 · arxiv_version: 1112.0891v3 · doi: 10.48550/arxiv.1112.0891 · pith_short_12: CUASFSIRXKK5 · pith_short_16: CUASFSIRXKK5DHQR · pith_short_8: CUASFSIR

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/CUASFSIRXKK5DHQRODMYF67PA2 \
  | 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: 150122c911ba95d19e1170d982fbef069c9da81e7ffe6fa4e1ddfe28d8808f35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f42b48971008a4620396a4d159a5764a385c218036b942c38065b413735b288",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-05T11:24:15Z",
    "title_canon_sha256": "e0cefe2ecd1af701b990548f1fb19f879534ac4cac21f5487d6bcf86b2acbe40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0891",
    "kind": "arxiv",
    "version": 3
  }
}