Pith Number

pith:W752QX7U

pith:2009:W752QX7UIT4LCUNBM6S63TXHTE

not attested not anchored not stored refs pending

Characterization of the variable exponent Bessel potential spaces via the Poisson semigroup

Humberto Rafeiro, Stefan Samko

arxiv:0904.3567 v1 · 2009-04-22 · 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{W752QX7UIT4LCUNBM6S63TXHTE}

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	2026-05-18T04:13:45.994469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7fba85ff444f8b151a167a5edcee79939ba33bbf5c19a4ac210f3518215f83c

Aliases

arxiv: 0904.3567 · arxiv_version: 0904.3567v1 · doi: 10.48550/arxiv.0904.3567 · pith_short_12: W752QX7UIT4L · pith_short_16: W752QX7UIT4LCUNB · pith_short_8: W752QX7U

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/W752QX7UIT4LCUNBM6S63TXHTE \
  | 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: b7fba85ff444f8b151a167a5edcee79939ba33bbf5c19a4ac210f3518215f83c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03c1a68058e9d697287c1c98f44f05ffe40b89bcd2c927e126ad837d21d2a15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-04-22T22:43:13Z",
    "title_canon_sha256": "6aab7266397be362b71e8f2780fddfff7c409a30cf40242801f34f361e04b25f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3567",
    "kind": "arxiv",
    "version": 1
  }
}