Pith Number

pith:G5P7K5ZP

pith:2019:G5P7K5ZP6TBIJTYGIOWOQJFXGF

not attested not anchored not stored refs pending

Pointwise decay for semilinear wave equations in $\mathbb{R}^{!+3}$

Shiwu Yang

arxiv:1908.00607 v2 · 2019-08-01 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5P7K5ZP6TBIJTYGIOWOQJFXGF}

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	2026-07-05T02:18:13.924303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375ff5772ff4c284cf0643ace824b7316b9fb86b46ad5209a465053bc5dc9793

Aliases

arxiv: 1908.00607 · arxiv_version: 1908.00607v2 · doi: 10.48550/arxiv.1908.00607 · pith_short_12: G5P7K5ZP6TBI · pith_short_16: G5P7K5ZP6TBIJTYG · pith_short_8: G5P7K5ZP

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/G5P7K5ZP6TBIJTYGIOWOQJFXGF \
  | 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: 375ff5772ff4c284cf0643ace824b7316b9fb86b46ad5209a465053bc5dc9793

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba4b590e5490cea9bdedba38ee49822e81cdf682f61f54106889c09572f298e7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-01T20:09:51Z",
    "title_canon_sha256": "439b5bef66c566b00c98f5a03385210de03a72649bf936a73c3befb66bb3d02f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00607",
    "kind": "arxiv",
    "version": 2
  }
}