Pith Number

pith:SIFYBPJ7

pith:2018:SIFYBPJ7B2TQLBOZBEZHKCDLP6

not attested not anchored not stored refs pending

Weighted Besov and Triebel--Lizorkin spaces associated to operators

Huy-Qui Bui, The Anh Bui, Xuan Thinh Duong

arxiv:1809.02795 v1 · 2018-09-08 · 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{SIFYBPJ7B2TQLBOZBEZHKCDLP6}

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	2026-05-18T00:06:15.278234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

920b80bd3f0ea70585d9093275086b7f8a3549a8fc8ac9bfd5457c9082a3b06a

Aliases

arxiv: 1809.02795 · arxiv_version: 1809.02795v1 · doi: 10.48550/arxiv.1809.02795 · pith_short_12: SIFYBPJ7B2TQ · pith_short_16: SIFYBPJ7B2TQLBOZ · pith_short_8: SIFYBPJ7

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/SIFYBPJ7B2TQLBOZBEZHKCDLP6 \
  | 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: 920b80bd3f0ea70585d9093275086b7f8a3549a8fc8ac9bfd5457c9082a3b06a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10ab3a1d0b501bee40c57faf9eeab6d9ae391bafd07b288891b79aaf7fa7a275",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-08T12:43:34Z",
    "title_canon_sha256": "29b64438b8d4c9576aa0777368551b52ab51ba2007929259a6c098f44771b9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02795",
    "kind": "arxiv",
    "version": 1
  }
}