Pith Number

pith:XXJ7V5ND

pith:2016:XXJ7V5NDZ5X263F4WEEQGYZGLX

not attested not anchored not stored refs pending

Functorial Hierarchical Clustering with Overlaps

Dan P. Guralnik, Jared Culbertson, Peter F. Stiller

arxiv:1609.02513 v2 · 2016-09-08 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXJ7V5NDZ5X263F4WEEQGYZGLX}

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	2026-05-18T00:08:05.320715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd3faf5a3cf6faf6cbcb1090363265dd412d239c19d100698d7525e1b4b3e08

Aliases

arxiv: 1609.02513 · arxiv_version: 1609.02513v2 · doi: 10.48550/arxiv.1609.02513 · pith_short_12: XXJ7V5NDZ5X2 · pith_short_16: XXJ7V5NDZ5X263F4 · pith_short_8: XXJ7V5ND

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/XXJ7V5NDZ5X263F4WEEQGYZGLX \
  | 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: bdd3faf5a3cf6faf6cbcb1090363265dd412d239c19d100698d7525e1b4b3e08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c4f2cf0dc8fc414fac1bc76f3b3e7cfc0070bf29904e673ecee95a57db41062",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-09-08T17:52:26Z",
    "title_canon_sha256": "1e005bbc456664155fa89a8880d06b8ed4537c1a274e943b2f45e9a3e33908bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02513",
    "kind": "arxiv",
    "version": 2
  }
}