Pith Number

pith:S6JH2VIL

pith:2024:S6JH2VILWFJOH2XM6VOZXJ7QXA

not attested not anchored not stored refs pending

$B$-valued semi-circular system and the free Poincar\'{e} inequality

Hyuga Ito

arxiv:2409.16498 v3 · 2024-09-24 · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S6JH2VILWFJOH2XM6VOZXJ7QXA}

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	2026-07-05T10:50:44.176382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97927d550bb152e3eaecf55d9ba7f0b82a0736c70b51859f3ceada97c3253433

Aliases

arxiv: 2409.16498 · arxiv_version: 2409.16498v3 · doi: 10.48550/arxiv.2409.16498 · pith_short_12: S6JH2VILWFJO · pith_short_16: S6JH2VILWFJOH2XM · pith_short_8: S6JH2VIL

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/S6JH2VILWFJOH2XM6VOZXJ7QXA \
  | 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: 97927d550bb152e3eaecf55d9ba7f0b82a0736c70b51859f3ceada97c3253433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aef3e6101bb55b79ea89a1b2024f029d707d236bedd476f26af1f1fc11c2e473",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2024-09-24T23:05:53Z",
    "title_canon_sha256": "f6745be23be0f1f268e678703efa4ad756b935293d6cfef3b76a0e0888cc311a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.16498",
    "kind": "arxiv",
    "version": 3
  }
}