Pith Number

pith:544LXJYT

pith:2026:544LXJYT5LWH2I34IGMTJKMJZE

not attested not anchored not stored refs pending

Hierarchical Clustering of Networks via Hierarchical Distance Matrices

Eric D. Kolaczyk, Li Chen, Lizhen Lin, Nathaniel Josephs

arxiv:2607.29296 v1 · 2026-07-31 · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{544LXJYT5LWH2I34IGMTJKMJZE}

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	2026-08-03T01:24:02.660586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef38bba713eaec7d237c419934a989c93ff1be0b839488f1f0e7fcdfa35a9bba

Aliases

arxiv: 2607.29296 · arxiv_version: 2607.29296v1 · doi: 10.48550/arxiv.2607.29296 · pith_short_12: 544LXJYT5LWH · pith_short_16: 544LXJYT5LWH2I34 · pith_short_8: 544LXJYT

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/544LXJYT5LWH2I34IGMTJKMJZE \
  | 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: ef38bba713eaec7d237c419934a989c93ff1be0b839488f1f0e7fcdfa35a9bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcf69a635444cfb42918a96e4c0013162e3890cc9b1e8d7baed4011a20f38325",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-31T11:14:44Z",
    "title_canon_sha256": "44ba9083c3dc4704199dd5d2b0778b1b3238a975673be34b2af86eb7d453478a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29296",
    "kind": "arxiv",
    "version": 1
  }
}