Pith Number

pith:B244YT3R

pith:2017:B244YT3RFGULCXFHKH6EGKI3XI

not attested not anchored not stored refs pending

Existence of multiple periodic solutions for a semilinear wave equation in an $n$-dimensional ball

Hui Wei, Shuguan Ji

arxiv:1710.00525 v1 · 2017-10-02 · math.DS · 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{B244YT3RFGULCXFHKH6EGKI3XI}

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	2026-05-18T00:33:54.509960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb9cc4f7129a8b15ca751fc43291bba383f5263e55f3e50b5166514bdb02286

Aliases

arxiv: 1710.00525 · arxiv_version: 1710.00525v1 · doi: 10.48550/arxiv.1710.00525 · pith_short_12: B244YT3RFGUL · pith_short_16: B244YT3RFGULCXFH · pith_short_8: B244YT3R

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/B244YT3RFGULCXFHKH6EGKI3XI \
  | 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: 0eb9cc4f7129a8b15ca751fc43291bba383f5263e55f3e50b5166514bdb02286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d11007398ed83a9c1da3bb37219c2176653025392d48657ff35d228223b1a8c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-02T08:19:04Z",
    "title_canon_sha256": "f9fe0f8248e6d32a5da6cb280d2bafbaf664242d48e5917ef9a8f12228a5f4ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00525",
    "kind": "arxiv",
    "version": 1
  }
}