Pith Number

pith:L3DJV7CF

pith:2018:L3DJV7CF6OGGFLZP4HOIJSYU3W

not attested not anchored not stored refs pending

Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equation

Benjamin Dodson

arxiv:1809.08284 v1 · 2018-09-21 · 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{L3DJV7CF6OGGFLZP4HOIJSYU3W}

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	2026-05-18T00:05:08.955517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec69afc45f38c62af2fe1dc84cb14ddaff0fcc9eb690cfdb9094a89f96bdcb4

Aliases

arxiv: 1809.08284 · arxiv_version: 1809.08284v1 · doi: 10.48550/arxiv.1809.08284 · pith_short_12: L3DJV7CF6OGG · pith_short_16: L3DJV7CF6OGGFLZP · pith_short_8: L3DJV7CF

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/L3DJV7CF6OGGFLZP4HOIJSYU3W \
  | 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: 5ec69afc45f38c62af2fe1dc84cb14ddaff0fcc9eb690cfdb9094a89f96bdcb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb663b893649c304c5c70b26106e2abdfbd8aa9d212e3b36252823df2693087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-21T19:50:12Z",
    "title_canon_sha256": "32cbb3e520a76f54f226d6e3bcc7316c176f4fb09f16df2524624b28ce8c3903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08284",
    "kind": "arxiv",
    "version": 1
  }
}