Pith Number

pith:ERLBGMZD

pith:2019:ERLBGMZDCSRVVP3DLCEZK6FIS2

not attested not anchored not stored refs pending

Graph Hierarchy: A novel approach to understanding hierarchical structures in complex networks

Choudhry Shuaib, Giannis Moutsinas, Stephen Jarvis, Weisi Guo

arxiv:1908.04358 v4 · 2019-08-12 · physics.soc-ph · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERLBGMZDCSRVVP3DLCEZK6FIS2}

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	2026-07-05T01:40:55.555695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

245613332314a35abf6358899578a89693071de3c5319346bb8858a104d063f8

Aliases

arxiv: 1908.04358 · arxiv_version: 1908.04358v4 · doi: 10.48550/arxiv.1908.04358 · pith_short_12: ERLBGMZDCSRV · pith_short_16: ERLBGMZDCSRVVP3D · pith_short_8: ERLBGMZD

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/ERLBGMZDCSRVVP3DLCEZK6FIS2 \
  | 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: 245613332314a35abf6358899578a89693071de3c5319346bb8858a104d063f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f043aae5beb52729d95fe14f93fc5e34871ede5e481afc4dc3392e7a56949760",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-08-12T20:04:08Z",
    "title_canon_sha256": "921f1eb5124be0018297f42aab9fabff53ff1ed9c8486d639b5ede1038347b57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04358",
    "kind": "arxiv",
    "version": 4
  }
}