Pith Number

pith:N2PFBKUZ

pith:2015:N2PFBKUZOFCEL2KLHVVHKLTACN

not attested not anchored not stored refs pending

Two betweenness centrality measures based on Randomized Shortest Paths

Bertrand Lebichot, Ilkka Kivim\"aki, Jari Saram\"aki, Marco Saerens

arxiv:1509.03147 v2 · 2015-09-10 · cs.SI · cs.DS · 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{N2PFBKUZOFCEL2KLHVVHKLTACN}

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	2026-05-18T01:21:31.198570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e9e50aa99714445e94b3d6a752e601347fb8b051a05b13eb264c3bc1bb47f0f

Aliases

arxiv: 1509.03147 · arxiv_version: 1509.03147v2 · doi: 10.48550/arxiv.1509.03147 · pith_short_12: N2PFBKUZOFCE · pith_short_16: N2PFBKUZOFCEL2KL · pith_short_8: N2PFBKUZ

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/N2PFBKUZOFCEL2KLHVVHKLTACN \
  | 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: 6e9e50aa99714445e94b3d6a752e601347fb8b051a05b13eb264c3bc1bb47f0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ab69f951760653bca9beafed79b7d774dc3845c158f11899a429b18014dfd1",
    "cross_cats_sorted": [
      "cs.DS",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2015-09-10T13:37:45Z",
    "title_canon_sha256": "ec44b7b7564a98449672ea8ff3e6c576c2212d1c5fa105a0c06559c71c1717d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03147",
    "kind": "arxiv",
    "version": 2
  }
}