Pith Number

pith:RG5FR6DL

pith:2008:RG5FR6DL7SLUH275AL6N4KWH2D

not attested not anchored not stored refs pending

Weighted Strichartz Estimates with Angular Regularity and their Applications

Chengbo Wang, Daoyuan Fang

arxiv:0802.0058 v2 · 2008-02-01 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RG5FR6DL7SLUH275AL6N4KWH2D}

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	2026-05-18T04:30:03.115374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89ba58f86bfc9743ebfd02fcde2ac7d0db357f5aa80e1bdf06133c1a94976664

Aliases

arxiv: 0802.0058 · arxiv_version: 0802.0058v2 · doi: 10.48550/arxiv.0802.0058 · pith_short_12: RG5FR6DL7SLU · pith_short_16: RG5FR6DL7SLUH275 · pith_short_8: RG5FR6DL

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/RG5FR6DL7SLUH275AL6N4KWH2D \
  | 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: 89ba58f86bfc9743ebfd02fcde2ac7d0db357f5aa80e1bdf06133c1a94976664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43797b9ab671fef13bfeaf560a5774d1e7fa7abda97e177a1887b34d3059edfb",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-02-01T06:13:27Z",
    "title_canon_sha256": "a78e1e3dc8ace34e271b98fbc7d2f8f74acba9af6a243112757d8cc0ec1a754c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0058",
    "kind": "arxiv",
    "version": 2
  }
}