Pith Number

pith:QD3YPQSI

pith:2018:QD3YPQSIU7WZSKQ4NESAH7TYRA

not attested not anchored not stored refs pending

One-sided fractional derivatives, fractional Laplacians, and weighted Sobolev spaces

M. Vaughan, P. R. Stinga

arxiv:1810.13305 v3 · 2018-10-31 · math.CA · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QD3YPQSIU7WZSKQ4NESAH7TYRA}

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	2026-05-17T23:42:02.882134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80f787c248a7ed992a1c692403fe788822b05a10d3ecc2eb1c21bc7958955285

Aliases

arxiv: 1810.13305 · arxiv_version: 1810.13305v3 · doi: 10.48550/arxiv.1810.13305 · pith_short_12: QD3YPQSIU7WZ · pith_short_16: QD3YPQSIU7WZSKQ4 · pith_short_8: QD3YPQSI

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/QD3YPQSIU7WZSKQ4NESAH7TYRA \
  | 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: 80f787c248a7ed992a1c692403fe788822b05a10d3ecc2eb1c21bc7958955285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62a989d9b12001eed157fd7a2626545b2e4d9c77f35a8fb6e6215bbce928f0c7",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-31T14:35:25Z",
    "title_canon_sha256": "cfb2bbb09d4945c8a0a02d4852114985222e3f33010f74efed1d6a918b9d546a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13305",
    "kind": "arxiv",
    "version": 3
  }
}