Pith Number

pith:VHGBTXI7

pith:2022:VHGBTXI7P3OV7GIR6GICDUNSHP

not attested not anchored not stored refs pending

A dichotomy for H\"ormander-type oscillatory integral operators

Hong Wang, Ruixiang Zhang, Shaoming Guo

arxiv:2210.05851 v2 · 2022-10-12 · math.CA · 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{VHGBTXI7P3OV7GIR6GICDUNSHP}

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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

Restriction estimates using decoupling theorems and two-ends Furstenberg inequalities

Receipt and verification

First computed	2026-07-05T05:38:29.384146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9cc19dd1f7edd5f9911f19021d1b23bd2d3ac9c18cf7986093aed8be2e4e81e

Aliases

arxiv: 2210.05851 · arxiv_version: 2210.05851v2 · doi: 10.48550/arxiv.2210.05851 · pith_short_12: VHGBTXI7P3OV · pith_short_16: VHGBTXI7P3OV7GIR · pith_short_8: VHGBTXI7

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/VHGBTXI7P3OV7GIR6GICDUNSHP \
  | 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: a9cc19dd1f7edd5f9911f19021d1b23bd2d3ac9c18cf7986093aed8be2e4e81e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "308cc43403555fc29bf719c6dc49cccc066e630f927b9311ec9ec4cd7c034300",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2022-10-12T01:25:11Z",
    "title_canon_sha256": "0c4ea322ffed04c3c3b691d1d99770e806a835820be977504fd55d6e306401c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.05851",
    "kind": "arxiv",
    "version": 2
  }
}