Pith Number

pith:RW3KOAF6

pith:2012:RW3KOAF6T3RMXPCJUT5BSAFQDJ

not attested not anchored not stored refs pending

Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions

Hideo Kubo

arxiv:1204.3725 v2 · 2012-04-17 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RW3KOAF6T3RMXPCJUT5BSAFQDJ}

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	2026-05-18T03:54:49.977273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8db6a700be9ee2cbbc49a4fa1900b01a75c3a32be308cb931c4538e2b0ffacaa

Aliases

arxiv: 1204.3725 · arxiv_version: 1204.3725v2 · doi: 10.48550/arxiv.1204.3725 · pith_short_12: RW3KOAF6T3RM · pith_short_16: RW3KOAF6T3RMXPCJ · pith_short_8: RW3KOAF6

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/RW3KOAF6T3RMXPCJUT5BSAFQDJ \
  | 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: 8db6a700be9ee2cbbc49a4fa1900b01a75c3a32be308cb931c4538e2b0ffacaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5daf3e365a8cc364d032bf55f3e381d0d08de843cd379921a9b2313d605d2b4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-17T08:32:33Z",
    "title_canon_sha256": "7750cfb097d5b8dd6cbdb488be178e1d6de50ecb9d89e119e30a32857047d9c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3725",
    "kind": "arxiv",
    "version": 2
  }
}