Pith Number

pith:E6DF2OVR

pith:2025:E6DF2OVRSOVWXBSAYNNJNRUGFX

not attested not anchored not stored refs pending

Finite time blow-up of semi-linear Klein-Gordon equations with positive initial energy in FLRW spacetimes

Makoto Nakamura, Takuma Yoshizumi

arxiv:2505.09077 v1 · 2025-05-14 · 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{E6DF2OVRSOVWXBSAYNNJNRUGFX}

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

Boundedness and decay of waves on spatially flat decelerated FLRW spacetimes

Receipt and verification

First computed	2026-07-05T11:02:49.922946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27865d3ab193ab6b8640c35a96c6862de76aabf6c6c540df97aeef5d627211c2

Aliases

arxiv: 2505.09077 · arxiv_version: 2505.09077v1 · doi: 10.48550/arxiv.2505.09077 · pith_short_12: E6DF2OVRSOVW · pith_short_16: E6DF2OVRSOVWXBSA · pith_short_8: E6DF2OVR

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/E6DF2OVRSOVWXBSAYNNJNRUGFX \
  | 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: 27865d3ab193ab6b8640c35a96c6862de76aabf6c6c540df97aeef5d627211c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2907f640c030baba3523c83fbb0b99e1886b224e76277edc32f4fe44ab9a6255",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-05-14T02:23:12Z",
    "title_canon_sha256": "0854a2c574d182d2e45593e89eb8f96111506aba5e4277d3d9c4a0eba9ad9711"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09077",
    "kind": "arxiv",
    "version": 1
  }
}