Pith Number

pith:LIDWLT4B

pith:2015:LIDWLT4BXSZNWOJY2P3NJCJI37

not attested not anchored not stored refs pending

Global existence for solutions of the focusing wave equation with the compactness property

Carlos Kenig, Frank Merle, Thomas Duyckaerts

arxiv:1504.04692 v1 · 2015-04-18 · 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{LIDWLT4BXSZNWOJY2P3NJCJI37}

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	2026-05-18T00:54:41.661967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0765cf81bcb2db3938d3f6d48928dfd986e0f2e7e893a4c84299514378d934

Aliases

arxiv: 1504.04692 · arxiv_version: 1504.04692v1 · doi: 10.48550/arxiv.1504.04692 · pith_short_12: LIDWLT4BXSZN · pith_short_16: LIDWLT4BXSZNWOJY · pith_short_8: LIDWLT4B

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/LIDWLT4BXSZNWOJY2P3NJCJI37 \
  | 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: 5a0765cf81bcb2db3938d3f6d48928dfd986e0f2e7e893a4c84299514378d934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26526543e0c2b7e245e4e5e3c408647a136f7226e0389ed94907f66bc5aec461",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-18T08:14:52Z",
    "title_canon_sha256": "4d3c84812a7a0e0c591fb25ca60eab4c8a06017f36b2a9dc247922abd6ff003c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04692",
    "kind": "arxiv",
    "version": 1
  }
}