Pith Number

pith:Z46QNAUD

pith:2015:Z46QNAUDJ53XKY7HEY2VBL57EP

not attested not anchored not stored refs pending

Global well - posedness for the defocusing, cubic, nonlinear wave equation in three dimensions for radial initial in $\dot{H}^{s} \times \dot{H}^{s - 1}$, $s > \frac{1}{2}$

Benjamin Dodson

arxiv:1506.06239 v2 · 2015-06-20 · 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{Z46QNAUDJ53XKY7HEY2VBL57EP}

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	2026-05-18T00:35:55.850104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf3d0682834f777563e7263550afbf23fb4a0630ed5fd8e2fcd78bfd43b3fe1c

Aliases

arxiv: 1506.06239 · arxiv_version: 1506.06239v2 · doi: 10.48550/arxiv.1506.06239 · pith_short_12: Z46QNAUDJ53X · pith_short_16: Z46QNAUDJ53XKY7H · pith_short_8: Z46QNAUD

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/Z46QNAUDJ53XKY7HEY2VBL57EP \
  | 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: cf3d0682834f777563e7263550afbf23fb4a0630ed5fd8e2fcd78bfd43b3fe1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d588c9fa019adf4e6bf22f3dae9a7f3efd7a3cab2a5278a6cd778e5fff5f3ff5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-20T12:53:54Z",
    "title_canon_sha256": "a36c8bd0981330a890a73e96a1bc3e1d1cfe2b7597fdc9706f2abc4509b0e7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06239",
    "kind": "arxiv",
    "version": 2
  }
}