Pith Number

pith:5WQZY27L

pith:2012:5WQZY27LZZKGTBZKOT4RFHTUUG

not attested not anchored not stored refs pending

Cyclic vectors in Korenblum type spaces

Abdelouahab Hanine

arxiv:1210.0947 v2 · 2012-10-02 · 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{5WQZY27LZZKGTBZKOT4RFHTUUG}

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	2026-05-18T03:25:43.670395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eda19c6bebce5469872a74f9129e74a1bcaadbedbc492f7c531b4c29940e0e11

Aliases

arxiv: 1210.0947 · arxiv_version: 1210.0947v2 · doi: 10.48550/arxiv.1210.0947 · pith_short_12: 5WQZY27LZZKG · pith_short_16: 5WQZY27LZZKGTBZK · pith_short_8: 5WQZY27L

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/5WQZY27LZZKGTBZKOT4RFHTUUG \
  | 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: eda19c6bebce5469872a74f9129e74a1bcaadbedbc492f7c531b4c29940e0e11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69df32fdc250edf90b781c4a0dddafd30521f807688fd224f140fd54388301b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-02T23:51:27Z",
    "title_canon_sha256": "2035e9c566c620b7763440013e34838f51099babe181dfdb13e5537316c82792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0947",
    "kind": "arxiv",
    "version": 2
  }
}