Pith Number

pith:QC6UHZV6

pith:2007:QC6UHZV6OGZDAHO4TG25FKV7K2

not attested not anchored not stored refs pending

Global L2-Boundedness Theorems for Semiclassical Fourier Integral Operators with Complex Phase

Torben Swart, Vidian Rousse

arxiv:0710.4200 v3 · 2007-10-23 · math-ph · 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{QC6UHZV6OGZDAHO4TG25FKV7K2}

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	2026-05-18T04:09:13.978858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80bd43e6be71b2301ddc99b5d2aabf56a1818f3e41ac3b4a03d95b9d400b740a

Aliases

arxiv: 0710.4200 · arxiv_version: 0710.4200v3 · doi: 10.48550/arxiv.0710.4200 · pith_short_12: QC6UHZV6OGZD · pith_short_16: QC6UHZV6OGZDAHO4 · pith_short_8: QC6UHZV6

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/QC6UHZV6OGZDAHO4TG25FKV7K2 \
  | 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: 80bd43e6be71b2301ddc99b5d2aabf56a1818f3e41ac3b4a03d95b9d400b740a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "210a7176984d1dcb2db1a5f816e4821f3db3abb0b80bc3ce7488c4f15168284a",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-10-23T07:49:33Z",
    "title_canon_sha256": "0e5ef8f8bbeee672559b125ea500dcea83c6d7a85b4719395f3d12a94a777b43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.4200",
    "kind": "arxiv",
    "version": 3
  }
}