Pith Number

pith:OF35K5FW

pith:2025:OF35K5FW43D47BPOBN7QVVUODV

not attested not anchored not stored refs pending

Global small data weak solutions of 2-D semilinear wave equations with scale-invariant damping, III

Huicheng Yin, QianQian Li

arxiv:2507.08274 v2 · 2025-07-11 · 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{OF35K5FW43D47BPOBN7QVVUODV}

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	2026-07-05T11:37:25.905760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7177d574b6e6c7cf85ee0b7f0ad68e1d7e4910e3b4f165cc01780a13e9c9d17f

Aliases

arxiv: 2507.08274 · arxiv_version: 2507.08274v2 · doi: 10.48550/arxiv.2507.08274 · pith_short_12: OF35K5FW43D4 · pith_short_16: OF35K5FW43D47BPO · pith_short_8: OF35K5FW

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/OF35K5FW43D47BPOBN7QVVUODV \
  | 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: 7177d574b6e6c7cf85ee0b7f0ad68e1d7e4910e3b4f165cc01780a13e9c9d17f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f8f6497e763816b4f0b2570fa9da678bb2deb6627b30671c8dfe450304b2736",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-11T02:49:07Z",
    "title_canon_sha256": "ca5c381853640d0eb637f047b9d383fcded8e4cfa69fa73b727e54eb841c14d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08274",
    "kind": "arxiv",
    "version": 2
  }
}