Pith Number

pith:36U7XSER

pith:2018:36U7XSERBEDQNXEXE6B2LGLMQF

not attested not anchored not stored refs pending

Multiplication and composition operators on the derivative Hardy space $S^{2}({\mathbb{D}})$

Caixing Gu, Shuaibing Luo

arxiv:1808.10041 v1 · 2018-08-29 · math.FA

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

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	2026-05-18T00:06:50.009631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfa9fbc891090706dc972783a5996c8157cfd3bb216443d2fee8fca04abeb9ca

Aliases

arxiv: 1808.10041 · arxiv_version: 1808.10041v1 · doi: 10.48550/arxiv.1808.10041 · pith_short_12: 36U7XSERBEDQ · pith_short_16: 36U7XSERBEDQNXEX · pith_short_8: 36U7XSER

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/36U7XSERBEDQNXEXE6B2LGLMQF \
  | 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: dfa9fbc891090706dc972783a5996c8157cfd3bb216443d2fee8fca04abeb9ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b37a6ca7e3aceb4eb9bd549f393530049ba6f65881f8de65db2cc6b44794d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-29T21:09:23Z",
    "title_canon_sha256": "e757aa113a51975beeb1e99179de1301cd4f66a2ec3bfae8c20e5e98d07344c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10041",
    "kind": "arxiv",
    "version": 1
  }
}