Pith Number

pith:CUEUP55A

pith:2018:CUEUP55AENRUPZ5ZFRPWOKMP4R

not attested not anchored not stored refs pending

Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surface

Caixing Gu, Jie Xiao, Shuaibing Luo

arxiv:1806.10757 v1 · 2018-06-28 · math.FA · math.CV · math.OA

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	2026-05-18T00:12:08.017341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

150947f7a0236347e7b92c5f67298fe44698feff2d286f808262702fd241f116

Aliases

arxiv: 1806.10757 · arxiv_version: 1806.10757v1 · doi: 10.48550/arxiv.1806.10757 · pith_short_12: CUEUP55AENRU · pith_short_16: CUEUP55AENRUPZ5Z · pith_short_8: CUEUP55A

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/CUEUP55AENRUPZ5ZFRPWOKMP4R \
  | 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: 150947f7a0236347e7b92c5f67298fe44698feff2d286f808262702fd241f116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a267bc05296994cd645effa85434d31a1c30837a438a2379be8fd5a24cd1eda",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-06-28T03:36:53Z",
    "title_canon_sha256": "15a9dbea8ef4906856e45b8fa9a238d6d0ffc311854ec6486e5958bc849e9182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10757",
    "kind": "arxiv",
    "version": 1
  }
}