Pith Number

pith:KQ76TPBM

pith:2016:KQ76TPBMT24WRZMFHLA5X4AXLS

not attested not anchored not stored refs pending

Regularity theory for solutions to second order elliptic operators with complex coefficients and the $L^p$ Dirichlet problem

Jill Pipher, Martin Dindo\v{s}

arxiv:1612.01568 v4 · 2016-12-05 · 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{KQ76TPBMT24WRZMFHLA5X4AXLS}

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	2026-05-18T00:19:42.525515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

543fe9bc2c9eb968e5853ac1dbf0175cb24acf4202ebc0febcc6b5eb85596917

Aliases

arxiv: 1612.01568 · arxiv_version: 1612.01568v4 · doi: 10.48550/arxiv.1612.01568 · pith_short_12: KQ76TPBMT24W · pith_short_16: KQ76TPBMT24WRZMF · pith_short_8: KQ76TPBM

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/KQ76TPBMT24WRZMFHLA5X4AXLS \
  | 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: 543fe9bc2c9eb968e5853ac1dbf0175cb24acf4202ebc0febcc6b5eb85596917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc92bfafb87ceda0c03e71a042f763620c645a718e7d4dcde279ca610b53a98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-05T21:45:25Z",
    "title_canon_sha256": "92deea92deef7bac977137587fb365e6538c1256fde9278f2e5e409848c66aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01568",
    "kind": "arxiv",
    "version": 4
  }
}