Pith Number

pith:YTO4HHU2

pith:2026:YTO4HHU2HAEBUHS3ZLOZFRQXYM

not attested not anchored not stored refs pending

Idleness Functions for Ollivier-Ricci Curvature on Hypergraphs

Qing Xia

arxiv:2608.01970 v1 · 2026-08-03 · math.CO · 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{YTO4HHU2HAEBUHS3ZLOZFRQXYM}

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.

Cited by

1 paper in Pith

Edge-connectivity and LLY curvature of hypergraphs

Receipt and verification

First computed	2026-08-04T02:10:22.117238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4ddc39e9a38081a1e5bcadd92c617c306601da34cf71edaac1f06cd6fbc6f80

Aliases

arxiv: 2608.01970 · arxiv_version: 2608.01970v1 · doi: 10.48550/arxiv.2608.01970 · pith_short_12: YTO4HHU2HAEB · pith_short_16: YTO4HHU2HAEBUHS3 · pith_short_8: YTO4HHU2

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/YTO4HHU2HAEBUHS3ZLOZFRQXYM \
  | 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: c4ddc39e9a38081a1e5bcadd92c617c306601da34cf71edaac1f06cd6fbc6f80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "323be968f0b8292a85bccc305ae986c328337f1d43ed1a844770cabdb1e2f744",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-03T09:35:25Z",
    "title_canon_sha256": "92856d50b69fd65a8c5964fc170fe0df15f5294f193b17223c5b7474baf39346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01970",
    "kind": "arxiv",
    "version": 1
  }
}