Pith Number

pith:NT7X2OGO

pith:2026:NT7X2OGOLHECE3Q3H45ECBZJ6A

not attested not anchored not stored refs pending

On hyperbolic and functional analogues of questions of Gr\"unbaum and Loewner

Kateryna Tatarko, Sergii Myroshnychenko, Vladyslav Yaskin, Yu Huang

arxiv:2606.04482 v1 · 2026-06-03 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NT7X2OGOLHECE3Q3H45ECBZJ6A}

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	2026-06-04T01:09:09.915525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cff7d38ce59c8226e1b3f3a410729f02c48eed28e174735ba66ee0e9c93d980

Aliases

arxiv: 2606.04482 · arxiv_version: 2606.04482v1 · doi: 10.48550/arxiv.2606.04482 · pith_short_12: NT7X2OGOLHEC · pith_short_16: NT7X2OGOLHECE3Q3 · pith_short_8: NT7X2OGO

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/NT7X2OGOLHECE3Q3H45ECBZJ6A \
  | 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: 6cff7d38ce59c8226e1b3f3a410729f02c48eed28e174735ba66ee0e9c93d980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43f647a27d4916051ef4e3541a5ce1ea65912d3122b7be7b7a65acf4465a9ae",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-06-03T05:56:32Z",
    "title_canon_sha256": "6a51d17b180c89b6f1548d7bad341ca76724335e604cb24b8e532e8054ccf09c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04482",
    "kind": "arxiv",
    "version": 1
  }
}