Pith Number

pith:Z5O2OPLR

pith:2020:Z5O2OPLRPFFHLSQKQYAUVJ2YSY

not attested not anchored not stored refs pending

How directed is a directed network?

B. Sansom, R. S. MacKay, S. Johnson

arxiv:2001.05173 v1 · 2020-01-15 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5O2OPLRPFFHLSQKQYAUVJ2YSY}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T00:33:39.648469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5da73d71794a75ca0a86014aa7589635dcbd589ce01d3e5f47a3b591d114fe

Aliases

arxiv: 2001.05173 · arxiv_version: 2001.05173v1 · doi: 10.48550/arxiv.2001.05173 · pith_short_12: Z5O2OPLRPFFH · pith_short_16: Z5O2OPLRPFFHLSQK · pith_short_8: Z5O2OPLR

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/Z5O2OPLRPFFHLSQKQYAUVJ2YSY \
  | 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: cf5da73d71794a75ca0a86014aa7589635dcbd589ce01d3e5f47a3b591d114fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f7950c0f15accfc80e6a4b7c5d889ed9b6f802b55c9f8167f6f27cb3c0720da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2020-01-15T08:23:11Z",
    "title_canon_sha256": "c3b4e7874827a539d4dfa1652c8464fe6ad7a6276a8017ae3d04feed6145e910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.05173",
    "kind": "arxiv",
    "version": 1
  }
}