Pith Number

pith:YM57SJEP

pith:2012:YM57SJEP5UNMRHVHK3S426B5SL

not attested not anchored not stored refs pending

Almost global existence for exterior Neumann problems of semilinear wave equations in 2D

Hideo Kubo, Sandra Lucente, Soichiro Katayama

arxiv:1208.3531 v1 · 2012-08-17 · 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{YM57SJEP5UNMRHVHK3S426B5SL}

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	2026-05-18T03:48:34.990051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c33bf9248fed1ac89ea756e5cd783d92d867d20ecfb943acf036bd80288df8a6

Aliases

arxiv: 1208.3531 · arxiv_version: 1208.3531v1 · doi: 10.48550/arxiv.1208.3531 · pith_short_12: YM57SJEP5UNM · pith_short_16: YM57SJEP5UNMRHVH · pith_short_8: YM57SJEP

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/YM57SJEP5UNMRHVHK3S426B5SL \
  | 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: c33bf9248fed1ac89ea756e5cd783d92d867d20ecfb943acf036bd80288df8a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50cf6d756ef8d194478772c2f8e439a6e6a500526557a92c1952f17cf7d3cace",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-17T05:06:21Z",
    "title_canon_sha256": "6f37728a57732dc21ed8509f956ea8576796521c0f4f29e3b33322f0de583fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3531",
    "kind": "arxiv",
    "version": 1
  }
}