Pith Number

pith:535NXWUJ

pith:2023:535NXWUJTSAUJKEKPREUDJPC2K

not attested not anchored not stored refs pending

Soliton resolution for the energy critical damped wave equations in the radial case

Jingyuan Gu, Lifeng Zhao

arxiv:2401.04115 v3 · 2023-12-22 · 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{535NXWUJTSAUJKEKPREUDJPC2K}

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	2026-06-24T01:14:18.367077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eefadbda899c8144a88a7c4941a5e2d297b7937a09d0a46dc92e8ce8cb0ad4ca

Aliases

arxiv: 2401.04115 · arxiv_version: 2401.04115v3 · doi: 10.48550/arxiv.2401.04115 · pith_short_12: 535NXWUJTSAU · pith_short_16: 535NXWUJTSAUJKEK · pith_short_8: 535NXWUJ

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/535NXWUJTSAUJKEKPREUDJPC2K \
  | 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: eefadbda899c8144a88a7c4941a5e2d297b7937a09d0a46dc92e8ce8cb0ad4ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f033541bb2e6affa166ac1eace9804ff5c2c466fdd7f028e81ec76e0de1e3d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-12-22T07:41:13Z",
    "title_canon_sha256": "11866beee0a5f803efd51c72da4085e9ba9bb068151544cbc4e24263c5790c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04115",
    "kind": "arxiv",
    "version": 3
  }
}