Pith Number

pith:PK4ONXIL

pith:2025:PK4ONXILYDDPDCYSXS2MZKPO2U

not attested not anchored not stored refs pending

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

Li Qianqian, Wang Dinghuai, Yin Huicheng

arxiv:2503.18677 v2 · 2025-03-24 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PK4ONXILYDDPDCYSXS2MZKPO2U}

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.

Cited by

1 paper in Pith

Dispersive estimates for wave-type equations with time-dependent damping

Receipt and verification

First computed	2026-07-05T11:35:54.642656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab8e6dd0bc0c6f18b12bcb4cca9eed5264af58cc27de1dc0aab140435a85fe4

Aliases

arxiv: 2503.18677 · arxiv_version: 2503.18677v2 · doi: 10.48550/arxiv.2503.18677 · pith_short_12: PK4ONXILYDDP · pith_short_16: PK4ONXILYDDPDCYS · pith_short_8: PK4ONXIL

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/PK4ONXILYDDPDCYSXS2MZKPO2U \
  | 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: 7ab8e6dd0bc0c6f18b12bcb4cca9eed5264af58cc27de1dc0aab140435a85fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9094505abb90ca1a124c3345843b1b402f14244d6008cdd194708acb25e812fa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-03-24T13:49:29Z",
    "title_canon_sha256": "23f24a84a92911f30a3f9917435249506552aef3fb34be37750a7b7f5958a208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18677",
    "kind": "arxiv",
    "version": 2
  }
}