Pith Number

pith:P47KAUXE

pith:2015:P47KAUXE2MMUVDNHHJHH7AZID5

not attested not anchored not stored refs pending

Nonlinear commutators for the fractional p-Laplacian and applications

Armin Schikorra

arxiv:1506.02380 v1 · 2015-06-08 · 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{P47KAUXE2MMUVDNHHJHH7AZID5}

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	2026-05-18T01:24:32.980625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f3ea052e4d3194a8da73a4e7f83281f44b4da49e5e7ee4965eaa473322a7cd3

Aliases

arxiv: 1506.02380 · arxiv_version: 1506.02380v1 · doi: 10.48550/arxiv.1506.02380 · pith_short_12: P47KAUXE2MMU · pith_short_16: P47KAUXE2MMUVDNH · pith_short_8: P47KAUXE

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/P47KAUXE2MMUVDNHHJHH7AZID5 \
  | 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: 7f3ea052e4d3194a8da73a4e7f83281f44b4da49e5e7ee4965eaa473322a7cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96d7457271885d99a44aa74b3329baca3677ee13d3dc74b3c7b76b3d264c5645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-08T07:29:56Z",
    "title_canon_sha256": "d2ee529e3bb2c080d3be2c940f1244556883a40210513b614adf6fd5cc0e71d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02380",
    "kind": "arxiv",
    "version": 1
  }
}