Pith Number

pith:ASNQUBOZ

pith:2026:ASNQUBOZBPKXVUOYITL4BXF6DQ

not attested not anchored not stored refs pending

Polish spaces of separable Banach lattices

Mariusz Niwi\'nski

arxiv:2607.08064 v1 · 2026-07-09 · math.FA · math.GN · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASNQUBOZBPKXVUOYITL4BXF6DQ}

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	2026-07-10T00:19:09.343534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

049b0a05d90bd57ad1d844d7c0dcbe1c1f7e31a4160b2cd1b82d92c5957f27c3

Aliases

arxiv: 2607.08064 · arxiv_version: 2607.08064v1 · doi: 10.48550/arxiv.2607.08064 · pith_short_12: ASNQUBOZBPKX · pith_short_16: ASNQUBOZBPKXVUOY · pith_short_8: ASNQUBOZ

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/ASNQUBOZBPKXVUOYITL4BXF6DQ \
  | 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: 049b0a05d90bd57ad1d844d7c0dcbe1c1f7e31a4160b2cd1b82d92c5957f27c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4766379012e7d231d8964653b6be851a9d9712fae7142dacacb8307e977917e3",
    "cross_cats_sorted": [
      "math.GN",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-09T02:37:08Z",
    "title_canon_sha256": "fe9c009ca73bc4c896b00d9b5ec8f72d68cb21a7a4d1cbb17ed0ff540fcc0d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08064",
    "kind": "arxiv",
    "version": 1
  }
}