Pith Number

pith:CQ2XMXYR

pith:2014:CQ2XMXYRNWQ3T6VR45RO7JIJJ4

not attested not anchored not stored refs pending

A Seeger-Sogge-Stein theorem for bilinear Fourier integral operators

David Rule, Salvador Rodr\'iguez-L\'opez, Wolfgang Staubach

arxiv:1402.1729 v1 · 2014-02-07 · 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{CQ2XMXYRNWQ3T6VR45RO7JIJJ4}

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	2026-05-18T02:59:46.094903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1435765f116da1b9fab1e762efa5094f37432ea559c97ab6c51f184065c999a0

Aliases

arxiv: 1402.1729 · arxiv_version: 1402.1729v1 · doi: 10.48550/arxiv.1402.1729 · pith_short_12: CQ2XMXYRNWQ3 · pith_short_16: CQ2XMXYRNWQ3T6VR · pith_short_8: CQ2XMXYR

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/CQ2XMXYRNWQ3T6VR45RO7JIJJ4 \
  | 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: 1435765f116da1b9fab1e762efa5094f37432ea559c97ab6c51f184065c999a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2583a397c39d5cf49289130f0efbc385f2f256d0238d5f8be1b546589d1abb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-07T18:44:19Z",
    "title_canon_sha256": "4a3a08b567baaed033082ce8f46fde12e793089f373844bd684caf3f57a91b8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1729",
    "kind": "arxiv",
    "version": 1
  }
}