Pith Number

pith:7RA7HMA7

pith:2014:7RA7HMA7UIP6Y5TDXAJFMDHUGU

not attested not anchored not stored refs pending

Sharp Weyl Law for Signed Counting Function of Positive Interior Transmission Eigenvalues

Boris Vainberg, Evgeny Lakshtanov

arxiv:1401.6213 v7 · 2014-01-23 · math-ph · math.AP · math.FA · 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{7RA7HMA7UIP6Y5TDXAJFMDHUGU}

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	2026-05-18T01:14:09.571948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc41f3b01fa21fec7663b812560cf4353f8e28056c1da5114a11ba209549cc3e

Aliases

arxiv: 1401.6213 · arxiv_version: 1401.6213v7 · doi: 10.48550/arxiv.1401.6213 · pith_short_12: 7RA7HMA7UIP6 · pith_short_16: 7RA7HMA7UIP6Y5TD · pith_short_8: 7RA7HMA7

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/7RA7HMA7UIP6Y5TDXAJFMDHUGU \
  | 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: fc41f3b01fa21fec7663b812560cf4353f8e28056c1da5114a11ba209549cc3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "180e8c42f43858019b991b28ff9cc8fc846cf8b93e445d2eb6c7c95faa9f4b05",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-01-23T23:22:03Z",
    "title_canon_sha256": "96f918f0aa2766275a33551d9f44e9e3c0307e36859eda23ccfe1847450a2007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6213",
    "kind": "arxiv",
    "version": 7
  }
}