Pith Number

pith:VQB5NYK4

pith:2019:VQB5NYK46W6NGYLCOZOI6DTIAT

not attested not anchored not stored refs pending

Finite time blow up for wave equations with strong damping in an exterior domain

Ahmad Fino

arxiv:1905.07782 v1 · 2019-05-19 · 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{VQB5NYK46W6NGYLCOZOI6DTIAT}

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	2026-05-17T23:45:48.498225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac03d6e15cf5bcd36162765c8f0e6804c127db6b39c8ef62c21d834023f610f0

Aliases

arxiv: 1905.07782 · arxiv_version: 1905.07782v1 · doi: 10.48550/arxiv.1905.07782 · pith_short_12: VQB5NYK46W6N · pith_short_16: VQB5NYK46W6NGYLC · pith_short_8: VQB5NYK4

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/VQB5NYK46W6NGYLCOZOI6DTIAT \
  | 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: ac03d6e15cf5bcd36162765c8f0e6804c127db6b39c8ef62c21d834023f610f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e07acfd190f16a1f04429ff09839e3e6610978cede07721633508bfa794d0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-19T17:35:49Z",
    "title_canon_sha256": "ef214cbc7211942b4e58c7e809d97947561a22114c15795a081ca028e51990fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.07782",
    "kind": "arxiv",
    "version": 1
  }
}