Pith Number

pith:XUJUAMRZ

pith:2026:XUJUAMRZ7X2GWN63YAGJEXKWSY

not attested not anchored not stored refs pending

Multilayer-Dynamic Network Clustering with Application to World Trade Data

Hai Zhang, Mengze Huang, Wenqing Su, Xiao Guo

arxiv:2607.05770 v1 · 2026-07-07 · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUJUAMRZ7X2GWN63YAGJEXKWSY}

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	2026-07-08T01:18:44.396747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd13403239fdf46b37dbc00c925d569630d9121089259cf88a15a983f018e0e9

Aliases

arxiv: 2607.05770 · arxiv_version: 2607.05770v1 · doi: 10.48550/arxiv.2607.05770 · pith_short_12: XUJUAMRZ7X2G · pith_short_16: XUJUAMRZ7X2GWN63 · pith_short_8: XUJUAMRZ

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/XUJUAMRZ7X2GWN63YAGJEXKWSY \
  | 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: bd13403239fdf46b37dbc00c925d569630d9121089259cf88a15a983f018e0e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26dcb5bb53c710f529c23d21570de842e1247814be14016e48a097d1222c522",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2026-07-07T02:50:31Z",
    "title_canon_sha256": "6507ccc3c70a8a429bfe7a2fbc0769367ffbc420f2aba3902bbc79ddc8e51961"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05770",
    "kind": "arxiv",
    "version": 1
  }
}