Pith Number

pith:4YB7IK5U

pith:2009:4YB7IK5UUYXP7NF4QQ6ZDKJ2P4

not attested not anchored not stored refs pending

Parabolic and elliptic systems in divergence form with variably partially BMO coefficients

Doyoon Kim, Hongjie Dong

arxiv:0902.0390 v3 · 2009-02-02 · 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{4YB7IK5UUYXP7NF4QQ6ZDKJ2P4}

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	2026-05-18T04:27:47.957736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e603f42bb4a62effb4bc843d91a93a7f26dbf3d11caa6984eeb33b8c0b0a5dc0

Aliases

arxiv: 0902.0390 · arxiv_version: 0902.0390v3 · doi: 10.48550/arxiv.0902.0390 · pith_short_12: 4YB7IK5UUYXP · pith_short_16: 4YB7IK5UUYXP7NF4 · pith_short_8: 4YB7IK5U

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/4YB7IK5UUYXP7NF4QQ6ZDKJ2P4 \
  | 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: e603f42bb4a62effb4bc843d91a93a7f26dbf3d11caa6984eeb33b8c0b0a5dc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b2044e7835a53d8c3e758d28a12ca6b6d5298622635dc1b319f77c2b6967f24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-02-02T22:20:49Z",
    "title_canon_sha256": "a214996d35f8f1517297706bfcafb2489be9b8cdce4e691a0a7031470f7bb927"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0390",
    "kind": "arxiv",
    "version": 3
  }
}