Pith Number

pith:KPXFEC3Y

pith:2026:KPXFEC3YFMQ222Q4JEXWYWJCS2

not attested not anchored not stored refs pending

Ollivier Ricci curvature on graphs obtained by removing edges from complete graphs

Taiki Yamada, Yui Asai

arxiv:2605.30830 v1 · 2026-05-29 · math.CO · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPXFEC3YFMQ222Q4JEXWYWJCS2}

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

An extremal theorem for positive curvature of graphs

Receipt and verification

First computed	2026-06-01T01:03:19.684136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53ee520b782b21ad6a1c492f6c5922968981f7f13f857048489469e4f7d494a9

Aliases

arxiv: 2605.30830 · arxiv_version: 2605.30830v1 · doi: 10.48550/arxiv.2605.30830 · pith_short_12: KPXFEC3YFMQ2 · pith_short_16: KPXFEC3YFMQ222Q4 · pith_short_8: KPXFEC3Y

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/KPXFEC3YFMQ222Q4JEXWYWJCS2 \
  | 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: 53ee520b782b21ad6a1c492f6c5922968981f7f13f857048489469e4f7d494a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab277ead17c30ea31843e7267a7762884f15d774fcc3b4ae149ddbfb61a68a34",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-29T04:35:54Z",
    "title_canon_sha256": "b7081015024cb9d1a2ee9d20c985a4107060fe00f11c02437f6ca2a7ec58ae94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30830",
    "kind": "arxiv",
    "version": 1
  }
}