Pith Number

pith:6IZ7OFAD

pith:2018:6IZ7OFADQXJDOTV7XI4CUK6K3I

not attested not anchored not stored refs pending

An asymtotic sharp Sobolev regularity for planar infinity harmonic functions

Herbert Koch, Yi Ru-Ya Zhang, Yuan Zhou

arxiv:1806.01982 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{6IZ7OFADQXJDOTV7XI4CUK6K3I}

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	2026-05-18T00:14:03.152694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f233f7140385d2374ebfba382a2bcada321f2b5b7036f24593499454561e1629

Aliases

arxiv: 1806.01982 · arxiv_version: 1806.01982v1 · doi: 10.48550/arxiv.1806.01982 · pith_short_12: 6IZ7OFADQXJD · pith_short_16: 6IZ7OFADQXJDOTV7 · pith_short_8: 6IZ7OFAD

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/6IZ7OFADQXJDOTV7XI4CUK6K3I \
  | 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: f233f7140385d2374ebfba382a2bcada321f2b5b7036f24593499454561e1629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61e9a55664d1c22dfa5c3fa168be8119bea33f6d6d589fd75412eb1fa81b1f06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-06T02:25:28Z",
    "title_canon_sha256": "34cb92af4061eca0973616896752b7bcd9c1fa60b0bf144d14bac604ad1944b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01982",
    "kind": "arxiv",
    "version": 1
  }
}