Pith Number

pith:PSKNR3YB

pith:2024:PSKNR3YBM4YO2BV32YFXLQZGHA

not attested not anchored not stored refs pending

The Banach-Tarski paradox for some subsets of finite-dimensional normed spaces over non-Archimedean valued fields

Kamil Orzechowski

arxiv:2402.14772 v1 · 2024-02-22 · math.FA · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSKNR3YBM4YO2BV32YFXLQZGHA}

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.

Cited by

1 paper in Pith

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces

Receipt and verification

First computed	2026-07-05T07:48:14.488368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c94d8ef016730ed06bbd60b75c326383df071ef771eceae5802e44ac3023577

Aliases

arxiv: 2402.14772 · arxiv_version: 2402.14772v1 · doi: 10.48550/arxiv.2402.14772 · pith_short_12: PSKNR3YBM4YO · pith_short_16: PSKNR3YBM4YO2BV3 · pith_short_8: PSKNR3YB

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/PSKNR3YBM4YO2BV32YFXLQZGHA \
  | 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: 7c94d8ef016730ed06bbd60b75c326383df071ef771eceae5802e44ac3023577

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6979b2b6ace89931acb5908fc16c9a77709b22c1699f42521479c8eaf6c7d63",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-02-22T18:31:44Z",
    "title_canon_sha256": "bf4d76a65fba2c5edc7aa1cf125ca8ddcfcd6b5b6f40cfdfd49eb752751dfc25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.14772",
    "kind": "arxiv",
    "version": 1
  }
}