Pith Number

pith:UY4H2VJP

pith:2016:UY4H2VJPUMGFZ36QTBMD4HYYR2

not attested not anchored not stored refs pending

Distributional fractional powers of similar operators. Applications to the Bessel operators

Sandra Molina

arxiv:1610.10009 v1 · 2016-10-31 · math.CA · 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{UY4H2VJPUMGFZ36QTBMD4HYYR2}

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	2026-05-18T01:00:46.745233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6387d552fa30c5cefd098583e1f188e83607eef4405e922ad05988ea962a8a9

Aliases

arxiv: 1610.10009 · arxiv_version: 1610.10009v1 · doi: 10.48550/arxiv.1610.10009 · pith_short_12: UY4H2VJPUMGF · pith_short_16: UY4H2VJPUMGFZ36Q · pith_short_8: UY4H2VJP

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/UY4H2VJPUMGFZ36QTBMD4HYYR2 \
  | 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: a6387d552fa30c5cefd098583e1f188e83607eef4405e922ad05988ea962a8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4273f2a00a6e969208d7b2dfd1efcc2be9d13c6823cba14eb88296c9285700a1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-10-31T16:45:37Z",
    "title_canon_sha256": "7b196d04dec1d70026f7930e2d726cbad1b83bdb5d9bb90c2aeac7b99735f526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.10009",
    "kind": "arxiv",
    "version": 1
  }
}