Pith Number

pith:63AOQPH5

pith:2022:63AOQPH5V7IDYN2ZLUGHJM4TKH

not attested not anchored not stored refs pending

Polish spaces of Banach spaces. Complexity of isometry and isomorphism classes

Marek C\'uth, Martin Dole\v{z}al, Michal Doucha, Ond\v{r}ej Kurka

arxiv:2204.06834 v1 · 2022-04-14 · math.FA · 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{63AOQPH5V7IDYN2ZLUGHJM4TKH}

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	2026-06-29T00:13:58.957752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c0e83cfdafd03c37595d0c74b39351eb8fc2759d5d30d66f061508a9164236

Aliases

arxiv: 2204.06834 · arxiv_version: 2204.06834v1 · doi: 10.48550/arxiv.2204.06834 · pith_short_12: 63AOQPH5V7ID · pith_short_16: 63AOQPH5V7IDYN2Z · pith_short_8: 63AOQPH5

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/63AOQPH5V7IDYN2ZLUGHJM4TKH \
  | 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: f6c0e83cfdafd03c37595d0c74b39351eb8fc2759d5d30d66f061508a9164236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56053420d1550bfa01a0a0a5afb9afa655f614bd1eeec3afd4d6ef4e995f7269",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-04-14T09:03:25Z",
    "title_canon_sha256": "1b5bc3aea3952113e5848692dfe9eec0373e14e3cf82f2ec9dd0cca87245b434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.06834",
    "kind": "arxiv",
    "version": 1
  }
}