Pith Number

pith:LCJVT7XX

pith:2016:LCJVT7XXCT3U22IZLKX5XSY46T

not attested not anchored not stored refs pending

Schauder estimates at the boundary for sub-laplacians in Carnot groups

Annalisa Baldi, Giovanna Citti, Giovanni Cupini

arxiv:1610.03270 v2 · 2016-10-11 · 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{LCJVT7XXCT3U22IZLKX5XSY46T}

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	2026-05-18T00:50:04.187268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

589359fef714f74d69195aafdbcb1cf4d9f8c7bdaff5825a9f828c5dae111155

Aliases

arxiv: 1610.03270 · arxiv_version: 1610.03270v2 · doi: 10.48550/arxiv.1610.03270 · pith_short_12: LCJVT7XXCT3U · pith_short_16: LCJVT7XXCT3U22IZ · pith_short_8: LCJVT7XX

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/LCJVT7XXCT3U22IZLKX5XSY46T \
  | 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: 589359fef714f74d69195aafdbcb1cf4d9f8c7bdaff5825a9f828c5dae111155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e47261eb16d3f6325b1a6d3f8f0c5bc0931b055480ef40e29dcbb0e76856a510",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-11T10:35:53Z",
    "title_canon_sha256": "d731f4d2123a2684a0bb7bc82e37ecadf619577fc450c89346eb6201058c753c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03270",
    "kind": "arxiv",
    "version": 2
  }
}