Pith Number

pith:QSXA26UO

pith:2016:QSXA26UO44BQA34BVTASV4UYEV

not attested not anchored not stored refs pending

Using higher-order Markov models to reveal flow-based communities in networks

Michael T. Schaub, Renaud Lambiotte, Vsevolod Salnikov

arxiv:1601.03516 v3 · 2016-01-14 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QSXA26UO44BQA34BVTASV4UYEV}

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	2026-05-18T00:52:02.154480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84ae0d7a8ee703006f81acc12af298256aecb980dc5904b1bb477730b4ecd977

Aliases

arxiv: 1601.03516 · arxiv_version: 1601.03516v3 · doi: 10.48550/arxiv.1601.03516 · pith_short_12: QSXA26UO44BQ · pith_short_16: QSXA26UO44BQA34B · pith_short_8: QSXA26UO

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/QSXA26UO44BQA34BVTASV4UYEV \
  | 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: 84ae0d7a8ee703006f81acc12af298256aecb980dc5904b1bb477730b4ecd977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee79058dc87c6d43b19a0021460f4e2fbb4dc3118fbaccb5211fdd7934c3c4ca",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-01-14T08:29:08Z",
    "title_canon_sha256": "dc9a19231ac34644afe11e670e533020d98443ee52815d391f77a4387718814f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03516",
    "kind": "arxiv",
    "version": 3
  }
}