Pith Number

pith:SVSFGRBG

pith:2018:SVSFGRBGWMNUKBE2P5CFZSO5QG

not attested not anchored not stored refs pending

Critical exponent for nonlinear damped wave equations with non-negative potential in 3D

Hideo Kubo, Kyouhei Wakasa, Vladimir Georgiev

arxiv:1810.05956 v1 · 2018-10-14 · 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{SVSFGRBGWMNUKBE2P5CFZSO5QG}

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	2026-05-18T00:03:21.857663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9564534426b31b45049a7f445cc9dd81a193cb47d3082e01bf8d6eeffe53969c

Aliases

arxiv: 1810.05956 · arxiv_version: 1810.05956v1 · doi: 10.48550/arxiv.1810.05956 · pith_short_12: SVSFGRBGWMNU · pith_short_16: SVSFGRBGWMNUKBE2 · pith_short_8: SVSFGRBG

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/SVSFGRBGWMNUKBE2P5CFZSO5QG \
  | 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: 9564534426b31b45049a7f445cc9dd81a193cb47d3082e01bf8d6eeffe53969c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "956a0e0c944bb115c5c4bf7a79843267a584ac1962a81cf625bcd1944e0003b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-14T02:50:37Z",
    "title_canon_sha256": "e81b8232344bc31eb2eb8961447c59f91cbb40e4945e19f7cb9db4c1544d818d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05956",
    "kind": "arxiv",
    "version": 1
  }
}