Pith Number

pith:4PF2CYFB

pith:2017:4PF2CYFB5K5ZJRP2OZ6F3TC4KN

not attested not anchored not stored refs pending

$L^p$ Mapping Properties for the Cauchy-Riemann Equations on Lipschitz Domains Admitting Subelliptic Estimates

Phillip S. Harrington, Yunus E. Zeytuncu

arxiv:1705.07374 v2 · 2017-05-21 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PF2CYFB5K5ZJRP2OZ6F3TC4KN}

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	2026-05-18T00:25:34.410813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3cba160a1eabb94c5fa767c5dcc5c5376ff87fd08ff29ca3f305dfbb298c4dc

Aliases

arxiv: 1705.07374 · arxiv_version: 1705.07374v2 · doi: 10.48550/arxiv.1705.07374 · pith_short_12: 4PF2CYFB5K5Z · pith_short_16: 4PF2CYFB5K5ZJRP2 · pith_short_8: 4PF2CYFB

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/4PF2CYFB5K5ZJRP2OZ6F3TC4KN \
  | 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: e3cba160a1eabb94c5fa767c5dcc5c5376ff87fd08ff29ca3f305dfbb298c4dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b16ed8d4eadebfb8730de5060049f77686afea659e5d95027e4fb4039f4a55e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-05-21T00:25:24Z",
    "title_canon_sha256": "6354fa9088a2be1fa2154c0ff19d363ee45efa851e8609d53addc8edd0612758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07374",
    "kind": "arxiv",
    "version": 2
  }
}