Pith Number

pith:SSB2UN5B

pith:2026:SSB2UN5B3G34F64OEA6LAA2RBI

not attested not anchored not stored refs pending

Reducing the upper bound for the Borsuk number in $\mathbb{R}^4$ to 8

Alexander Tolmachev, Vsevolod Voronov

arxiv:2605.19068 v1 · 2026-05-18 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSB2UN5B3G34F64OEA6LAA2RBI}

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	2026-05-20T01:05:25.807580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9483aa37a1d9b7c2fb8e203cb003510a26ce05e2393532f7cbc3800a39fb8544

Aliases

arxiv: 2605.19068 · arxiv_version: 2605.19068v1 · doi: 10.48550/arxiv.2605.19068 · pith_short_12: SSB2UN5B3G34 · pith_short_16: SSB2UN5B3G34F64O · pith_short_8: SSB2UN5B

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/SSB2UN5B3G34F64OEA6LAA2RBI \
  | 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: 9483aa37a1d9b7c2fb8e203cb003510a26ce05e2393532f7cbc3800a39fb8544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e02089bc957980d1389333996ad20884325de7864c917ea2998134066c6e39d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-05-18T19:50:27Z",
    "title_canon_sha256": "e2ef5c12c8efb880794de3cc680e6c1b8ca5277fe702e5a7b355f59a839c8da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19068",
    "kind": "arxiv",
    "version": 1
  }
}