Pith Number

pith:O4DJ5IEJ

pith:2009:O4DJ5IEJPNT6XZB4F6QHRSGQHP

not attested not anchored not stored refs pending

Global Lp continuity of Fourier integral operators

Michael Ruzhansky, Sandro Coriasco

arxiv:0910.2751 v1 · 2009-10-14 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4DJ5IEJPNT6XZB4F6QHRSGQHP}

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	2026-05-18T01:30:08.750900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77069ea0897b67ebe43c2fa078c8d03be314c8c9c8825db96ef33c0b9f85c797

Aliases

arxiv: 0910.2751 · arxiv_version: 0910.2751v1 · doi: 10.48550/arxiv.0910.2751 · pith_short_12: O4DJ5IEJPNT6 · pith_short_16: O4DJ5IEJPNT6XZB4 · pith_short_8: O4DJ5IEJ

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/O4DJ5IEJPNT6XZB4F6QHRSGQHP \
  | 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: 77069ea0897b67ebe43c2fa078c8d03be314c8c9c8825db96ef33c0b9f85c797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7750808a7056f82e1a84271bc03407c3d50fa2ab7cb5ae6244fed47ca589da30",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-10-14T23:56:46Z",
    "title_canon_sha256": "8c6e04c07843c7c79de46d297cefd47f77810e2d611c1c576455e2a9332e39b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2751",
    "kind": "arxiv",
    "version": 1
  }
}