Pith Number

pith:PJ5MWEUN

pith:2026:PJ5MWEUN6WLBRGNQNMH7CTT6Q7

not attested not anchored not stored refs pending

Chebyshev centers and radius of the set of permutons

Bal\'azs Maga

arxiv:2602.02889 v2 · 2026-02-02 · math.CO · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJ5MWEUN6WLBRGNQNMH7CTT6Q7}

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	2026-05-20T01:05:07.704150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a7acb128df5961899b06b0ff14e7e87c9c2ad20ab081a8a30ba45a7f7d90890

Aliases

arxiv: 2602.02889 · arxiv_version: 2602.02889v2 · doi: 10.48550/arxiv.2602.02889 · pith_short_12: PJ5MWEUN6WLB · pith_short_16: PJ5MWEUN6WLBRGNQ · pith_short_8: PJ5MWEUN

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/PJ5MWEUN6WLBRGNQNMH7CTT6Q7 \
  | 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: 7a7acb128df5961899b06b0ff14e7e87c9c2ad20ab081a8a30ba45a7f7d90890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faf47ebca0755abcdaca8d0b1dc7adcd9d481ad75edcd5ced4f89137c5fd6143",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-02-02T22:48:29Z",
    "title_canon_sha256": "c95a3800085de339e7665e84d8af0c94646e1a06a6acc8ee4ef11da8b8d43d39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.02889",
    "kind": "arxiv",
    "version": 2
  }
}