Pith Number

pith:FBUPDDUZ

pith:2013:FBUPDDUZNA35NHYP3WS2GDGVZQ

not attested not anchored not stored refs pending

Weyl type bound on positive Interior Transmission Eigenvalues

Boris Vainberg, Evgeny Lakshtanov

arxiv:1307.4503 v1 · 2013-07-17 · math.SP · math-ph · math.AP · math.FA · 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{FBUPDDUZNA35NHYP3WS2GDGVZQ}

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	2026-05-18T01:48:43.678896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2868f18e996837d69f0fdda5a30cd5cc270d3d6644b9c6d616968b0c82dfc74f

Aliases

arxiv: 1307.4503 · arxiv_version: 1307.4503v1 · doi: 10.48550/arxiv.1307.4503 · pith_short_12: FBUPDDUZNA35 · pith_short_16: FBUPDDUZNA35NHYP · pith_short_8: FBUPDDUZ

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/FBUPDDUZNA35NHYP3WS2GDGVZQ \
  | 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: 2868f18e996837d69f0fdda5a30cd5cc270d3d6644b9c6d616968b0c82dfc74f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c186ebb7c38bbc7c900ad39b5e8168089c435e1a5c087d68cab1cdc4f264ed9",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-07-17T05:03:13Z",
    "title_canon_sha256": "13e4122d86d048998ff9a4c43cbdb922e3ea8382c80f395ec4b3fa739af21aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4503",
    "kind": "arxiv",
    "version": 1
  }
}