Pith Number

pith:V3XN4SUD

pith:2018:V3XN4SUDBOE62PBQKIEQD3NJDD

not attested not anchored not stored refs pending

Critical exponent for the semilinear wave equations with a damping increasing in the far field

Kenji Nishihara, Motohiro Sobajima, Yuta Wakasugi

arxiv:1809.06994 v1 · 2018-09-19 · 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{V3XN4SUDBOE62PBQKIEQD3NJDD}

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	2026-05-17T23:51:25.924054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeeede4a830b89ed3c30520901eda918e47a0b78fa955e515a6b4e3a2fcdd52a

Aliases

arxiv: 1809.06994 · arxiv_version: 1809.06994v1 · doi: 10.48550/arxiv.1809.06994 · pith_short_12: V3XN4SUDBOE6 · pith_short_16: V3XN4SUDBOE62PBQ · pith_short_8: V3XN4SUD

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/V3XN4SUDBOE62PBQKIEQD3NJDD \
  | 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: aeeede4a830b89ed3c30520901eda918e47a0b78fa955e515a6b4e3a2fcdd52a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b56c73118b0b9e6f2f145477caf7bc0a65347f69bbf77b581bddf0c54505fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-19T03:18:43Z",
    "title_canon_sha256": "20bbbbaa8e5f0904fb015f41ebef2c10b5bd0824ba28e5d766e0a60de7c44671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.06994",
    "kind": "arxiv",
    "version": 1
  }
}