Pith Number

pith:4BSY736N

pith:2012:4BSY736NILETBUVHFV26VH3ETX

not attested not anchored not stored refs pending

Sobolev quasi periodic solutions of multidimensional wave equations with a multiplicative potential

Massimiliano Berti, Philippe Bolle

arxiv:1202.2424 v1 · 2012-02-11 · 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{4BSY736NILETBUVHFV26VH3ETX}

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	2026-05-18T01:58:31.029678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0658fefcd42c930d2a72d75ea9f649dcad6213e3323dff5ffbf9cab1da330ee

Aliases

arxiv: 1202.2424 · arxiv_version: 1202.2424v1 · doi: 10.48550/arxiv.1202.2424 · pith_short_12: 4BSY736NILET · pith_short_16: 4BSY736NILETBUVH · pith_short_8: 4BSY736N

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/4BSY736NILETBUVHFV26VH3ETX \
  | 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: e0658fefcd42c930d2a72d75ea9f649dcad6213e3323dff5ffbf9cab1da330ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df4f77963e8b56b04bf0933286b1565aeabbf5eb2c827a1ec78db7c45533af45",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-11T09:42:30Z",
    "title_canon_sha256": "23d8e793499ab787215d0c9e961c693d2572ca5b91848496d81896093a970734"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2424",
    "kind": "arxiv",
    "version": 1
  }
}