Pith Number

pith:K4NMIEEH

pith:2017:K4NMIEEHAJRSES2LXRHOYCM5H3

not attested not anchored not stored refs pending

Fractional Laplacian with Hardy potential

Dominika Pilarczyk, Krzysztof Bogdan, Tomasz Grzywny, Tomasz Jakubowski

arxiv:1710.08378 v2 · 2017-10-23 · math.AP · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4NMIEEHAJRSES2LXRHOYCM5H3}

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	2026-05-18T00:31:23.493948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571ac410870263224b4bbc4eec099d3ee358b1762466fc60b205ab6e5cb0c6d1

Aliases

arxiv: 1710.08378 · arxiv_version: 1710.08378v2 · doi: 10.48550/arxiv.1710.08378 · pith_short_12: K4NMIEEHAJRS · pith_short_16: K4NMIEEHAJRSES2L · pith_short_8: K4NMIEEH

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/K4NMIEEHAJRSES2LXRHOYCM5H3 \
  | 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: 571ac410870263224b4bbc4eec099d3ee358b1762466fc60b205ab6e5cb0c6d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3151df4e280fd88efd37e44a5cb5a0c8a2dccecd8becc42ce5904fe8ee16a857",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-23T16:47:18Z",
    "title_canon_sha256": "49447f6c1a498e0862917266d6451d61a44f57410bf200a36b4a0eeacf7af361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08378",
    "kind": "arxiv",
    "version": 2
  }
}