Pith Number

pith:OHRZIKFK

pith:2023:OHRZIKFK6Y3FSUUYZYZ36ULITW

not attested not anchored not stored refs pending

Weak Kantorovich difference and associated Ricci curvature of hypergraphs

Tomoya Akamatsu

arxiv:2306.14084 v1 · 2023-06-25 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHRZIKFK6Y3FSUUYZYZ36ULITW}

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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.

Cited by

1 paper in Pith

Lin-Lu-Yau Ricci curvature on hypergraphs

Receipt and verification

First computed	2026-07-05T11:39:37.012731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e39428aaf636595298ce33bf51689db59623bd8b4e950c14d5f4cfcbdb0e45

Aliases

arxiv: 2306.14084 · arxiv_version: 2306.14084v1 · doi: 10.48550/arxiv.2306.14084 · pith_short_12: OHRZIKFK6Y3F · pith_short_16: OHRZIKFK6Y3FSUUY · pith_short_8: OHRZIKFK

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/OHRZIKFK6Y3FSUUYZYZ36ULITW \
  | 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: 71e39428aaf636595298ce33bf51689db59623bd8b4e950c14d5f4cfcbdb0e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3870639cefad623cba08e2fb670c8d1c116b50b43a913c590b8aba59a77b9db",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2023-06-25T01:06:46Z",
    "title_canon_sha256": "0d74db1d07da7ff35d10b68eba5cf775c9a14da5f499b1d662d73aae2ff41f03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.14084",
    "kind": "arxiv",
    "version": 1
  }
}