Pith Number

pith:VKTFCWCW

pith:2018:VKTFCWCWDJ2EMD5EATO7LWV6YH

not attested not anchored not stored refs pending

Some sharp Sobolev regularity for inhomogeneous $\infty$-Laplace equation in plane

Herbert Koch, Yi Ru-Ya Zhang, Yuan Zhou

arxiv:1806.01987 v1 · 2018-06-06 · 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{VKTFCWCWDJ2EMD5EATO7LWV6YH}

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	2026-05-18T00:14:03.119592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa65158561a74460fa404ddf5dabec1d44982b17ac772bbf5c820d317817c24

Aliases

arxiv: 1806.01987 · arxiv_version: 1806.01987v1 · doi: 10.48550/arxiv.1806.01987 · pith_short_12: VKTFCWCWDJ2E · pith_short_16: VKTFCWCWDJ2EMD5E · pith_short_8: VKTFCWCW

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/VKTFCWCWDJ2EMD5EATO7LWV6YH \
  | 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: aaa65158561a74460fa404ddf5dabec1d44982b17ac772bbf5c820d317817c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb449b8038d3cfe2b3ef18553629632574c4f28c4468cf1cbe5f918390c0451",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-06T02:34:49Z",
    "title_canon_sha256": "4034d82a22e3c41158cc7045cf2fa5d8819c7a353645f061267c87906ad5e51c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01987",
    "kind": "arxiv",
    "version": 1
  }
}