Pith Number

pith:RFSBQLMN

pith:2021:RFSBQLMNTMDXE5WOF3GRERUYJM

not attested not anchored not stored refs pending

On Dasgupta's hierarchical clustering objective and its relation to other graph parameters

Benjamin Bergougnoux, Christophe Paul, Jan Arne Telle, Svein H{\o}gemo, Ulrik Brandes

arxiv:2105.12093 v1 · 2021-05-25 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFSBQLMNTMDXE5WOF3GRERUYJM}

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	2026-07-05T02:42:59.945027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8964182d8d9b077276ce2ecd1246984b1c8233ccd13e8c5f94ceade1c5cbe2ea

Aliases

arxiv: 2105.12093 · arxiv_version: 2105.12093v1 · doi: 10.48550/arxiv.2105.12093 · pith_short_12: RFSBQLMNTMDX · pith_short_16: RFSBQLMNTMDXE5WO · pith_short_8: RFSBQLMN

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/RFSBQLMNTMDXE5WOF3GRERUYJM \
  | 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: 8964182d8d9b077276ce2ecd1246984b1c8233ccd13e8c5f94ceade1c5cbe2ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe28b2ce3af8922bbbe8a72765f0f1f7ef996cadca2a5802237daf4ae8b07ffc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-05-25T17:21:21Z",
    "title_canon_sha256": "76c3f45cae51b2c066c5ad91a3e1f3a5252362564e28a1245cdc6115cbc4fa5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.12093",
    "kind": "arxiv",
    "version": 1
  }
}