Pith Number

pith:4B7OO5OU

pith:2024:4B7OO5OUGKLW3BU3FNC3FMPB65

not attested not anchored not stored refs pending

Semilinear damped wave equations with data from Sobolev spaces of negative order: the critical case in Euclidean setting and in the Heisenberg space

Marcello D'Abbicco

arxiv:2408.11756 v1 · 2024-08-21 · 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{4B7OO5OUGKLW3BU3FNC3FMPB65}

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

Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping

Receipt and verification

First computed	2026-07-05T08:57:48.625636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07ee775d432976d869b2b45b2b1e1f7737b3fc2c106d0e662e9e899804d8daf

Aliases

arxiv: 2408.11756 · arxiv_version: 2408.11756v1 · doi: 10.48550/arxiv.2408.11756 · pith_short_12: 4B7OO5OUGKLW · pith_short_16: 4B7OO5OUGKLW3BU3 · pith_short_8: 4B7OO5OU

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/4B7OO5OUGKLW3BU3FNC3FMPB65 \
  | 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: e07ee775d432976d869b2b45b2b1e1f7737b3fc2c106d0e662e9e899804d8daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16da0248dcad5085c144b6d76a8be5ef21efffc6eee0ee3cb718e6d54658a118",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-08-21T16:26:00Z",
    "title_canon_sha256": "d108248b5f11b3661f2d57c95a2a3d4d78f4b75bdac86db3cf69858e661dbd3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.11756",
    "kind": "arxiv",
    "version": 1
  }
}