Pith Number

pith:VNL6LBOK

pith:2013:VNL6LBOKMNRCYMUYJWGQEXE3IH

not attested not anchored not stored refs pending

Trace formulae and singular values of resolvent power differences of self-adjoint elliptic operators

Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik

arxiv:1301.5780 v1 · 2013-01-24 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VNL6LBOKMNRCYMUYJWGQEXE3IH}

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	2026-05-18T01:30:41.321486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab57e585ca63622c32984d8d025c9b41f66e39d0ad35920399f63062b07d6a84

Aliases

arxiv: 1301.5780 · arxiv_version: 1301.5780v1 · doi: 10.48550/arxiv.1301.5780 · pith_short_12: VNL6LBOKMNRC · pith_short_16: VNL6LBOKMNRCYMUY · pith_short_8: VNL6LBOK

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/VNL6LBOKMNRCYMUYJWGQEXE3IH \
  | 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: ab57e585ca63622c32984d8d025c9b41f66e39d0ad35920399f63062b07d6a84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81e1ca0ddabdd2e445ecd89b52466234d2a55f90dc10c30eec7e4b496fef78f6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-01-24T13:30:05Z",
    "title_canon_sha256": "49a6895b3213b7a179a6fab5db3a5e4fbbcab91ba3b8ca3846ceffe0773c5fe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5780",
    "kind": "arxiv",
    "version": 1
  }
}