Pith Number

pith:RXFZWC24

pith:2019:RXFZWC24OJOUYO56RDWQR4LSSP

not attested not anchored not stored refs pending

Improved variable coefficient square functions and local smoothing of Fourier integral operators

Changxing Miao, Chuanwei Gao, Jianwei-Urbain Yang

arxiv:1901.01487 v2 · 2019-01-06 · 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{RXFZWC24OJOUYO56RDWQR4LSSP}

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	2026-05-17T23:55:53.064351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dcb9b0b5c725d4c3bbe88ed08f17293fbacd459e91e03153e1ec0cbd9d522fc

Aliases

arxiv: 1901.01487 · arxiv_version: 1901.01487v2 · doi: 10.48550/arxiv.1901.01487 · pith_short_12: RXFZWC24OJOU · pith_short_16: RXFZWC24OJOUYO56 · pith_short_8: RXFZWC24

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/RXFZWC24OJOUYO56RDWQR4LSSP \
  | 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: 8dcb9b0b5c725d4c3bbe88ed08f17293fbacd459e91e03153e1ec0cbd9d522fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a288ff3e90cc77b99e2bf28900774b75b422c2506816d952a877c0943cd9dfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-06T02:15:05Z",
    "title_canon_sha256": "eb76c69bbd4d7d7b8c1e77134ab6ddcb46a8148ee064348b5dcab5c522139109"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01487",
    "kind": "arxiv",
    "version": 2
  }
}