Pith Number

pith:LP6CJFMW

pith:2016:LP6CJFMW5CQXLMVP44MG6ER7T5

not attested not anchored not stored refs pending

Fractional Laplacians and extension problems: the higher rank case

Maria del Mar Gonzalez, Mariel Saez

arxiv:1609.09151 v1 · 2016-09-28 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LP6CJFMW5CQXLMVP44MG6ER7T5}

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	2026-05-18T01:03:40.135710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bfc249596e8a175b2afe7186f123f9f5d1022b01884bf34a5e9b975c93e6e01

Aliases

arxiv: 1609.09151 · arxiv_version: 1609.09151v1 · doi: 10.48550/arxiv.1609.09151 · pith_short_12: LP6CJFMW5CQX · pith_short_16: LP6CJFMW5CQXLMVP · pith_short_8: LP6CJFMW

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/LP6CJFMW5CQXLMVP44MG6ER7T5 \
  | 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: 5bfc249596e8a175b2afe7186f123f9f5d1022b01884bf34a5e9b975c93e6e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "937530dfd8cc5c2e56a32347a75ef2943023547048f738b723d187187075d95a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-28T23:08:18Z",
    "title_canon_sha256": "ca403461b478d4d98d5fa872f6522f55d82719c0b8fa91a48e9b281bad576b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09151",
    "kind": "arxiv",
    "version": 1
  }
}