Pith Number

pith:ZHM5MSJ6

pith:2015:ZHM5MSJ64B2NPTPJYLHN6QMJ7I

not attested not anchored not stored refs pending

$L^2$-Theory of Linear Degenerate SPDEs and $L^p$ ($p>0$) Estimates for the Uniform Norm of Weak Solutions

Jinniao Qiu

arxiv:1503.06162 v3 · 2015-03-20 · 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{ZHM5MSJ64B2NPTPJYLHN6QMJ7I}

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	2026-05-17T23:47:08.909576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9d9d6493ee074d7cde9c2cedf4189fa044dd84b52e2b062a691596a17573891

Aliases

arxiv: 1503.06162 · arxiv_version: 1503.06162v3 · doi: 10.48550/arxiv.1503.06162 · pith_short_12: ZHM5MSJ64B2N · pith_short_16: ZHM5MSJ64B2NPTPJ · pith_short_8: ZHM5MSJ6

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/ZHM5MSJ64B2NPTPJYLHN6QMJ7I \
  | 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: c9d9d6493ee074d7cde9c2cedf4189fa044dd84b52e2b062a691596a17573891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235f4460f79386dadda23904fd9ca48e5173ce95bf18631b182e0c9a8a87e073",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-20T17:07:31Z",
    "title_canon_sha256": "830e9d2499425d9eab3a04f06d1dbeeb4c4ec507489655d14e21d5738d35364d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06162",
    "kind": "arxiv",
    "version": 3
  }
}