Pith Number

pith:LC44623I

pith:2006:LC44623ILX2B6C6CN73F4HZVCM

not attested not anchored not stored refs pending

Semiclassical Lp estimates

Daniel Tataru, Herbert Koch, Maciej Zworski

arxiv:math-ph/0603080 v2 · 2006-03-29 · math-ph · 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{LC44623ILX2B6C6CN73F4HZVCM}

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.

Cited by

1 paper in Pith

Riesz property in the case of multiple eigenvalues

Receipt and verification

First computed	2026-05-18T02:56:52.389859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b9cf6b685df41f0bc26ff65e1f3513092dc4bc0e4c1330739ccef2da43af21

Aliases

arxiv: math-ph/0603080 · arxiv_version: math-ph/0603080v2 · doi: 10.48550/arxiv.math-ph/0603080 · pith_short_12: LC44623ILX2B · pith_short_16: LC44623ILX2B6C6C · pith_short_8: LC44623I

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/LC44623ILX2B6C6CN73F4HZVCM \
  | 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: 58b9cf6b685df41f0bc26ff65e1f3513092dc4bc0e4c1330739ccef2da43af21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af4840feffa4139db4d828e5d8b1e37336b3ca40651a4a4744b72e38325baccc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2006-03-29T22:57:44Z",
    "title_canon_sha256": "abc1a6a4b5ad5539d040eaec9dc9b16bec57fa2e37a6d6fd0ac54b2980ea2935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0603080",
    "kind": "arxiv",
    "version": 2
  }
}