Pith Number

pith:H6OZTUWS

pith:2024:H6OZTUWSEUT7VJ6FO423OG34MW

not attested not anchored not stored refs pending

Multiple operator integrals, pseudodifferential calculus, and asymptotic expansions

Edward McDonald, Eva-Maria Hekkelman, Teun D. H. van Nuland

arxiv:2404.16338 v1 · 2024-04-25 · math.FA · math-ph · math.MP · math.OA · 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{H6OZTUWSEUT7VJ6FO423OG34MW}

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

Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations

Receipt and verification

First computed	2026-07-05T08:12:04.948096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f9d99d2d22527faa7c57735b71b7c6585c365f576a893c2fbd415f76f14d54d

Aliases

arxiv: 2404.16338 · arxiv_version: 2404.16338v1 · doi: 10.48550/arxiv.2404.16338 · pith_short_12: H6OZTUWSEUT7 · pith_short_16: H6OZTUWSEUT7VJ6F · pith_short_8: H6OZTUWS

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/H6OZTUWSEUT7VJ6FO423OG34MW \
  | 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: 3f9d99d2d22527faa7c57735b71b7c6585c365f576a893c2fbd415f76f14d54d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b36964cc7e8b24d343b0bcae1a32c2cdfb4ec65a5480ab04756670c094c6838d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-04-25T05:07:16Z",
    "title_canon_sha256": "570d0454858258bdb719421f5e655ece9c97ae9caffc3851bc0677e0195944dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.16338",
    "kind": "arxiv",
    "version": 1
  }
}