Pith Number

pith:RS6QZHWZ

pith:2018:RS6QZHWZMITW6L6SDMDHLKKZAB

not attested not anchored not stored refs pending

Characterizations of Fractional Sobolev Spaces From the Perspective of Riemann-Liouville Operators

Yulong Li

arxiv:1809.00398 v1 · 2018-09-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RS6QZHWZMITW6L6SDMDHLKKZAB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:05:44.973166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cbd0c9ed962276f2fd21b0675a959004d0555011f26f5c3cd2dbf7d0a106721

Aliases

arxiv: 1809.00398 · arxiv_version: 1809.00398v1 · doi: 10.48550/arxiv.1809.00398 · pith_short_12: RS6QZHWZMITW · pith_short_16: RS6QZHWZMITW6L6S · pith_short_8: RS6QZHWZ

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/RS6QZHWZMITW6L6SDMDHLKKZAB \
  | 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: 8cbd0c9ed962276f2fd21b0675a959004d0555011f26f5c3cd2dbf7d0a106721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "677ab1bbf84baf44299fb7f7e5dba0327e0423684dde50b3a088b4715540a7b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-02T21:40:29Z",
    "title_canon_sha256": "1cbc0da5168f2deb5cebd7cbfa5776c2ec062f331958a8feeae912cb8da417ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00398",
    "kind": "arxiv",
    "version": 1
  }
}