Pith Number

pith:XVLQC4GW

pith:2018:XVLQC4GWFYXLNBAQC56H7CFOIE

not attested not anchored not stored refs pending

Energy Distribution of Radial Solutions to Energy Subcritical Wave Equation with an Application on Scattering Theory

Ruipeng Shen

arxiv:1808.08656 v2 · 2018-08-27 · 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{XVLQC4GWFYXLNBAQC56H7CFOIE}

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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.

Cited by

1 paper in Pith

Scattering of solutions to NLW by Inward Energy Decay

Receipt and verification

First computed	2026-07-04T23:59:28.644859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd570170d62e2eb68410177c7f88ae4107343d26c2a2e21c022be4847ca60c7a

Aliases

arxiv: 1808.08656 · arxiv_version: 1808.08656v2 · doi: 10.48550/arxiv.1808.08656 · pith_short_12: XVLQC4GWFYXL · pith_short_16: XVLQC4GWFYXLNBAQ · pith_short_8: XVLQC4GW

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/XVLQC4GWFYXLNBAQC56H7CFOIE \
  | 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: bd570170d62e2eb68410177c7f88ae4107343d26c2a2e21c022be4847ca60c7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a08ea6ada39182e8c45d28001b9790d310149bcc13cdbd156151b779f55dc5a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-27T01:30:44Z",
    "title_canon_sha256": "3873d5834b975e7e848684071b4958d9f0e314dd1c18cb25de1aafa4c61c3b06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08656",
    "kind": "arxiv",
    "version": 2
  }
}