Pith Number

pith:HOCK5KGX

pith:2025:HOCK5KGXQSCYSKHAZGZ23AZNTB

not attested not anchored not stored refs pending

Paradoxical decompositions of finite-dimensional non-Archimedean normed spaces

Kamil Orzechowski

arxiv:2506.01528 v1 · 2025-06-02 · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOCK5KGXQSCYSKHAZGZ23AZNTB}

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	2026-07-05T11:14:15.222944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b84aea8d784858928e0c9b3ad832d9868cf9b71f36bc9613d775499074ea0c9

Aliases

arxiv: 2506.01528 · arxiv_version: 2506.01528v1 · doi: 10.48550/arxiv.2506.01528 · pith_short_12: HOCK5KGXQSCY · pith_short_16: HOCK5KGXQSCYSKHA · pith_short_8: HOCK5KGX

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/HOCK5KGXQSCYSKHAZGZ23AZNTB \
  | 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: 3b84aea8d784858928e0c9b3ad832d9868cf9b71f36bc9613d775499074ea0c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93416389d769c44b62abc7bb6af14bdbbcbc07e64241836f5f477fb0890655ee",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-02T10:41:17Z",
    "title_canon_sha256": "b31bc41a948201d03feb2187212f3cd0ab3837e325843b0de282b402bacc7014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01528",
    "kind": "arxiv",
    "version": 1
  }
}