Pith Number

pith:CWBHV26D

pith:2025:CWBHV26DX2OATMNI73VWELFU6Q

not attested not anchored not stored refs pending

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes

Mikael Vejdemo-Johansson

arxiv:2507.06212 v1 · 2025-07-08 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWBHV26DX2OATMNI73VWELFU6Q}

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	2026-07-05T11:33:54.325015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15827aebc3be9c09b1a8feeb622cb4f406adfce8b7dd0502d7f8b483e08a9f49

Aliases

arxiv: 2507.06212 · arxiv_version: 2507.06212v1 · doi: 10.48550/arxiv.2507.06212 · pith_short_12: CWBHV26DX2OA · pith_short_16: CWBHV26DX2OATMNI · pith_short_8: CWBHV26D

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/CWBHV26DX2OATMNI73VWELFU6Q \
  | 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: 15827aebc3be9c09b1a8feeb622cb4f406adfce8b7dd0502d7f8b483e08a9f49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d199e1e13d767729bfbde0a64fec59d47a436c7e84bda8d5c3570c39bd26339",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2025-07-08T17:42:41Z",
    "title_canon_sha256": "19de3faad4d021ef28bee4e13b52b4353b6b6b26622ca7aaae62d49bf9091038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06212",
    "kind": "arxiv",
    "version": 1
  }
}