Pith Number

pith:CPNZFLM6

pith:2018:CPNZFLM6R34FRMEE4Q2W6DCFD3

not attested not anchored not stored refs pending

Haar system as Schauder basis in Besov spaces: The limiting cases for 0 < p <= 1

Peter Oswald

arxiv:1808.08156 v1 · 2018-08-24 · math.NA · 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{CPNZFLM6R34FRMEE4Q2W6DCFD3}

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	2026-05-18T00:07:22.268288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13db92ad9e8ef858b084e4356f0c451eec2f04b23443d68f4d06e67641cf06ee

Aliases

arxiv: 1808.08156 · arxiv_version: 1808.08156v1 · doi: 10.48550/arxiv.1808.08156 · pith_short_12: CPNZFLM6R34F · pith_short_16: CPNZFLM6R34FRMEE · pith_short_8: CPNZFLM6

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/CPNZFLM6R34FRMEE4Q2W6DCFD3 \
  | 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: 13db92ad9e8ef858b084e4356f0c451eec2f04b23443d68f4d06e67641cf06ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7a8374155f8bb0783019a381feb4e4cf14cee23e7eef5c924adc77ec0bce13f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-08-24T14:26:11Z",
    "title_canon_sha256": "14d27488743bb5b8c3afc14522e0746cd5f63999e485eec78f1208897ec38727"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08156",
    "kind": "arxiv",
    "version": 1
  }
}