Pith Number

pith:VPDR2IHK

pith:2015:VPDR2IHKOXE4RLZ3HHXTGHVXK6

not attested not anchored not stored refs pending

Life span of small solutions to a system of wave equations

Kazuyoshi Yokoyama, Kunio Hidano

arxiv:1505.05924 v1 · 2015-05-22 · 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{VPDR2IHKOXE4RLZ3HHXTGHVXK6}

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	2026-05-18T02:03:49.655640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abc71d20ea75c9c8af3b39ef331eb7578fb6d1b4c74748a7576f1ca1e8eaa2a8

Aliases

arxiv: 1505.05924 · arxiv_version: 1505.05924v1 · doi: 10.48550/arxiv.1505.05924 · pith_short_12: VPDR2IHKOXE4 · pith_short_16: VPDR2IHKOXE4RLZ3 · pith_short_8: VPDR2IHK

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/VPDR2IHKOXE4RLZ3HHXTGHVXK6 \
  | 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: abc71d20ea75c9c8af3b39ef331eb7578fb6d1b4c74748a7576f1ca1e8eaa2a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a621cdeceb4df878e4e0d9b5a5fe894c91f92c2c78b6297eabe784148ab55a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-22T00:13:01Z",
    "title_canon_sha256": "7b9ec79ff3c6b6a095fc8d4a1d6a7d59eb0ae56aad782cd7da5f849d184dc594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05924",
    "kind": "arxiv",
    "version": 1
  }
}