Pith Number

pith:VOTDKGWW

pith:2012:VOTDKGWW7IW7JVATEE3QBO6XSU

not attested not anchored not stored refs pending

Inner Functions with Derivatives in the Weak Hardy Space

Artur Nicolau, Joseph A. Cima

arxiv:1206.3172 v1 · 2012-06-14 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOTDKGWW7IW7JVATEE3QBO6XSU}

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	2026-05-18T03:53:32.386046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aba6351ad6fa2df4d413213700bbd7950c4818c4eddc2a49fecca5e215e87baf

Aliases

arxiv: 1206.3172 · arxiv_version: 1206.3172v1 · doi: 10.48550/arxiv.1206.3172 · pith_short_12: VOTDKGWW7IW7 · pith_short_16: VOTDKGWW7IW7JVAT · pith_short_8: VOTDKGWW

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/VOTDKGWW7IW7JVATEE3QBO6XSU \
  | 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: aba6351ad6fa2df4d413213700bbd7950c4818c4eddc2a49fecca5e215e87baf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa969e983e5fdc8df60a7cb93f75f9771ab7090d92587e2e54b3c03775523fa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-14T16:31:37Z",
    "title_canon_sha256": "5f3a8d7a1ecbabdbcbfba7874b63e01356fcb23b889fdf315c628e6dd9964449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3172",
    "kind": "arxiv",
    "version": 1
  }
}