Pith Number

pith:CU25QOKO

pith:2017:CU25QOKOB36YAVJCWNRGSJI6FB

not attested not anchored not stored refs pending

Life-Span of Semilinear Wave Equations with Scale-invariant Damping: Critical Strauss Exponent Case

Jiayun Lin, Ziheng Tu

arxiv:1711.00223 v1 · 2017-11-01 · 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{CU25QOKOB36YAVJCWNRGSJI6FB}

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	2026-05-18T00:31:34.764602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1535d8394e0efd805522b36269251e2852bb6b6ee5c1d06f3e9b94e9fe143e99

Aliases

arxiv: 1711.00223 · arxiv_version: 1711.00223v1 · doi: 10.48550/arxiv.1711.00223 · pith_short_12: CU25QOKOB36Y · pith_short_16: CU25QOKOB36YAVJC · pith_short_8: CU25QOKO

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/CU25QOKOB36YAVJCWNRGSJI6FB \
  | 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: 1535d8394e0efd805522b36269251e2852bb6b6ee5c1d06f3e9b94e9fe143e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0490424513cb64f072020b458ef1ad3bebcdd68ecfec07f674fb88fa3ca722",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-01T06:44:54Z",
    "title_canon_sha256": "2a717f3bd294163bccd61a76ae8ae2dc0ec6511edc979bafbe7a0f9ef140a606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.00223",
    "kind": "arxiv",
    "version": 1
  }
}