Pith Number

pith:WLPKPZVG

pith:2018:WLPKPZVGULUE4WGRNW4MKLRKET

not attested not anchored not stored refs pending

Semiclassical resolvent estimates for bounded potentials

Fr\'ed\'eric Klopp, Martin Vogel

arxiv:1803.02450 v2 · 2018-03-06 · math.AP · math-ph · 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{WLPKPZVGULUE4WGRNW4MKLRKET}

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	2026-05-17T23:59:53.112282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2dea7e6a6a2e84e58d16db8c52e2a24f8234d2cc518e8c6610faf40b09f345e

Aliases

arxiv: 1803.02450 · arxiv_version: 1803.02450v2 · doi: 10.48550/arxiv.1803.02450 · pith_short_12: WLPKPZVGULUE · pith_short_16: WLPKPZVGULUE4WGR · pith_short_8: WLPKPZVG

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/WLPKPZVGULUE4WGRNW4MKLRKET \
  | 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: b2dea7e6a6a2e84e58d16db8c52e2a24f8234d2cc518e8c6610faf40b09f345e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9769587eb120e4354be9d685121c800be1567d8b2a367e2c85f542bbc58e076d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-06T22:32:25Z",
    "title_canon_sha256": "41016768f7101a7060fe6585af2e07552e84af46ab579bf65f3dabeb3642129e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02450",
    "kind": "arxiv",
    "version": 2
  }
}