pith. sign in
Pith Number

pith:IZWNJ7LP

pith:2016:IZWNJ7LPMCPV5QQJ3OEYROSYXD
not attested not anchored not stored refs pending

On the weak and pointwise topologies in function spaces II

Miko{\l}aj Krupski, Witold Marciszewski

arxiv:1608.03883 v2 · 2016-08-12 · math.GN · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IZWNJ7LPMCPV5QQJ3OEYROSYXD}

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 2026-05-17T23:58:42.644076Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

466cd4fd6f609f5ec209db8988ba58b8d21c6a73bc9b86faa48d355b3e5881af

Aliases

arxiv: 1608.03883 · arxiv_version: 1608.03883v2 · doi: 10.48550/arxiv.1608.03883 · pith_short_12: IZWNJ7LPMCPV · pith_short_16: IZWNJ7LPMCPV5QQJ · pith_short_8: IZWNJ7LP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IZWNJ7LPMCPV5QQJ3OEYROSYXD \
  | 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: 466cd4fd6f609f5ec209db8988ba58b8d21c6a73bc9b86faa48d355b3e5881af
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "edbe638b9b23759fe141f3d7a4809b45c1cb6881f135d9e0443970158283221b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-08-12T19:37:08Z",
    "title_canon_sha256": "b0b351cfd17b3ac2be1b6b787babee158f4c009e64005f5488f3228f0cb14749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03883",
    "kind": "arxiv",
    "version": 2
  }
}