Pith Number

pith:LD2GLQ3F

pith:2019:LD2GLQ3FRJSX5EHSRWWCXWIOUO

not attested not anchored not stored refs pending

Sobolev type spaces associated with the Poly-axially operator

Belgacem Selmi, Chahiba Khelifi

arxiv:1908.02799 v1 · 2019-08-07 · 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{LD2GLQ3FRJSX5EHSRWWCXWIOUO}

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	2026-07-04T23:52:23.360571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58f465c3658a657e90f28dac2bd90ea39c4b426cec209a81e40ce96fccaebe7a

Aliases

arxiv: 1908.02799 · arxiv_version: 1908.02799v1 · doi: 10.48550/arxiv.1908.02799 · pith_short_12: LD2GLQ3FRJSX · pith_short_16: LD2GLQ3FRJSX5EHS · pith_short_8: LD2GLQ3F

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/LD2GLQ3FRJSX5EHSRWWCXWIOUO \
  | 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: 58f465c3658a657e90f28dac2bd90ea39c4b426cec209a81e40ce96fccaebe7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "367909a98dbcfc9a097f4f976447722575d6fccbfa06363dcdcb3370a5093f31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-07T19:01:07Z",
    "title_canon_sha256": "8c15f4e2167c0cede2992f4533eff84fe279dd18fc759dd8877b3cb9db91f91d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02799",
    "kind": "arxiv",
    "version": 1
  }
}