Pith Number

pith:E6WIF6MO

pith:2016:E6WIF6MOV4T2IBR3H7VFIDTOCM

not attested not anchored not stored refs pending

Maps of sparse Markov chains efficiently reveal community structure in network flows with memory

Christian Persson, Daniel Edler, Ludvig Bohlin, Martin Rosvall

arxiv:1606.08328 v1 · 2016-06-27 · cs.SI · 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{E6WIF6MOV4T2IBR3H7VFIDTOCM}

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	2026-05-18T01:11:52.317380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27ac82f98eaf27a4063b3fea540e6e130c82556c25ed1fef0f55ac3a03d03fcf

Aliases

arxiv: 1606.08328 · arxiv_version: 1606.08328v1 · doi: 10.48550/arxiv.1606.08328 · pith_short_12: E6WIF6MOV4T2 · pith_short_16: E6WIF6MOV4T2IBR3 · pith_short_8: E6WIF6MO

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/E6WIF6MOV4T2IBR3H7VFIDTOCM \
  | 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: 27ac82f98eaf27a4063b3fea540e6e130c82556c25ed1fef0f55ac3a03d03fcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f630cc1cca9c39ca8ef5ff95d61f8759dabff1d37570c548c0346c130e830856",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2016-06-27T15:48:56Z",
    "title_canon_sha256": "5c127a6911a528d8f8cdf883875aad6fe510cd6c9bc27971f733d4de4f1d89d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08328",
    "kind": "arxiv",
    "version": 1
  }
}