Pith Number

pith:LNCK5NR2

pith:2014:LNCK5NR2OAGH37RS2CVWXUBPMC

not attested not anchored not stored refs pending

On the impossibility of $W_p^2$ estimates for elliptic equations with piecewise constant coefficients

Doyoon Kim, Hongjie Dong

arxiv:1404.5647 v1 · 2014-04-22 · 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{LNCK5NR2OAGH37RS2CVWXUBPMC}

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	2026-05-18T02:53:28.277914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b44aeb63a700c7dfe32d0ab6bd02f60b1d282805b5c619dbb38277c8458009e

Aliases

arxiv: 1404.5647 · arxiv_version: 1404.5647v1 · doi: 10.48550/arxiv.1404.5647 · pith_short_12: LNCK5NR2OAGH · pith_short_16: LNCK5NR2OAGH37RS · pith_short_8: LNCK5NR2

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/LNCK5NR2OAGH37RS2CVWXUBPMC \
  | 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: 5b44aeb63a700c7dfe32d0ab6bd02f60b1d282805b5c619dbb38277c8458009e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30b7ccad0e89c89bd56715c0f8bddec51308a318f0d6b7732480f9aae6a0f034",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-22T20:58:48Z",
    "title_canon_sha256": "f4c9c90fd9670cf081c2dc9ea2e2b31eddf92053c30b79d7bd4f37d6e46659b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5647",
    "kind": "arxiv",
    "version": 1
  }
}