Pith Number

pith:5EQIWSKX

pith:2015:5EQIWSKXDSHOTTC5CTNPAHSQIR

not attested not anchored not stored refs pending

Scattering theory for the radial $\dot H^{1/2}$-critical wave Equation with a cubic convolution

Changxing Miao, Jiqiang Zheng, Junyong Zhang

arxiv:1509.09126 v1 · 2015-09-30 · 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{5EQIWSKXDSHOTTC5CTNPAHSQIR}

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	2026-05-18T01:31:27.058891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9208b49571c8ee9cc5d14daf01e50445321c8b402235b8ecb496124a1c17a07

Aliases

arxiv: 1509.09126 · arxiv_version: 1509.09126v1 · doi: 10.48550/arxiv.1509.09126 · pith_short_12: 5EQIWSKXDSHO · pith_short_16: 5EQIWSKXDSHOTTC5 · pith_short_8: 5EQIWSKX

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/5EQIWSKXDSHOTTC5CTNPAHSQIR \
  | 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: e9208b49571c8ee9cc5d14daf01e50445321c8b402235b8ecb496124a1c17a07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7774baf6659b421e4d43b52260ebff64a9c9f76f6cf210ef4b3a9d92182c0f9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-30T11:25:10Z",
    "title_canon_sha256": "20eafa455d16f8729ffca1a71cf0e1b0e57dd55eefa8e3eea088e7d5d5532562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09126",
    "kind": "arxiv",
    "version": 1
  }
}