Pith Number

pith:QVTYB2ZS

pith:2018:QVTYB2ZSKQ4M35S7AHVPILTK5M

not attested not anchored not stored refs pending

Inclusion between generalized Stummel classes and other function spaces

Denny I. Hakim, Hendra Gunawan, Nicky K. Tumalun

arxiv:1810.08952 v1 · 2018-10-21 · 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{QVTYB2ZSKQ4M35S7AHVPILTK5M}

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	2026-05-18T00:02:41.357784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

856780eb325438cdf65f01eaf42e6aeb1cd983ca8a5dbbb018042b032475e560

Aliases

arxiv: 1810.08952 · arxiv_version: 1810.08952v1 · doi: 10.48550/arxiv.1810.08952 · pith_short_12: QVTYB2ZSKQ4M · pith_short_16: QVTYB2ZSKQ4M35S7 · pith_short_8: QVTYB2ZS

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/QVTYB2ZSKQ4M35S7AHVPILTK5M \
  | 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: 856780eb325438cdf65f01eaf42e6aeb1cd983ca8a5dbbb018042b032475e560

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ff45faa882480906d5ab1267bb05cbddce5c1b5279e57e2bf7767c6b90e2fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-21T14:03:01Z",
    "title_canon_sha256": "42e1e09428ad5f98a8f25b61b0e0fec2fda3c74cb7ae5aa4a7a31bd44f421c20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08952",
    "kind": "arxiv",
    "version": 1
  }
}