Pith Number

pith:YMW7ZHTK

pith:2012:YMW7ZHTKXYF3S2ZUHUYIDDJKQA

not attested not anchored not stored refs pending

A weighted $L_p$-theory for second-order elliptic and parabolic partial differential systems on a half space

Kijung Lee, Kyeong-Hun Kim

arxiv:1204.2325 v1 · 2012-04-11 · 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{YMW7ZHTKXYF3S2ZUHUYIDDJKQA}

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	2026-05-18T03:58:12.144153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c32dfc9e6abe0bb96b343d30818d2a801dbf6cf4621b0c9f82433fd2b0d61d83

Aliases

arxiv: 1204.2325 · arxiv_version: 1204.2325v1 · doi: 10.48550/arxiv.1204.2325 · pith_short_12: YMW7ZHTKXYF3 · pith_short_16: YMW7ZHTKXYF3S2ZU · pith_short_8: YMW7ZHTK

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/YMW7ZHTKXYF3S2ZUHUYIDDJKQA \
  | 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: c32dfc9e6abe0bb96b343d30818d2a801dbf6cf4621b0c9f82433fd2b0d61d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5f517b3045355c6f2c32ce4b221643cdc41eff74682b83fc5bc478636a9b5bb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-11T03:15:32Z",
    "title_canon_sha256": "85918e66ad461576edbc3fdf1c01f644f27ceac878e440694e1e6e5a1941f940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2325",
    "kind": "arxiv",
    "version": 1
  }
}