Pith Number

pith:W2XGA63E

pith:2026:W2XGA63EB27EHZGUD4X3SMXUCD

not attested not anchored not stored refs pending

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion

Xilu Zhu

arxiv:2607.14892 v1 · 2026-07-16 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2XGA63EB27EHZGUD4X3SMXUCD}

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	2026-07-17T01:21:57.260706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ae607b640ebe43e4d41f2fb932f410fd91729dfcd5477fe4d46e55c33be8af

Aliases

arxiv: 2607.14892 · arxiv_version: 2607.14892v1 · doi: 10.48550/arxiv.2607.14892 · pith_short_12: W2XGA63EB27E · pith_short_16: W2XGA63EB27EHZGU · pith_short_8: W2XGA63E

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/W2XGA63EB27EHZGUD4X3SMXUCD \
  | 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: b6ae607b640ebe43e4d41f2fb932f410fd91729dfcd5477fe4d46e55c33be8af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ee323080b52663924f06055be0a91ca07b1d000a56ce1e44cdccbea83f52fcc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-16T12:09:08Z",
    "title_canon_sha256": "73a1a2fd2485d0cc75dc252e4e521974595c01fbfabe7f5aa60cb2e8e6fdc53b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14892",
    "kind": "arxiv",
    "version": 1
  }
}