Pith Number

pith:XXA2EU25

pith:2019:XXA2EU25O4KKH7J6QLOVJ7GTQB

not attested not anchored not stored refs pending

Finding the right scale of a network: Efficient identification of causal emergence through spectral clustering

Brennan Klein, Erik Hoel, Ross Griebenow

arxiv:1908.07565 v2 · 2019-08-20 · 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{XXA2EU25O4KKH7J6QLOVJ7GTQB}

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	2026-07-05T03:57:39.062431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc1a2535d7714a3fd3e82dd54fcd3805d167fac45a27ef39cf384bc1e5c1369

Aliases

arxiv: 1908.07565 · arxiv_version: 1908.07565v2 · doi: 10.48550/arxiv.1908.07565 · pith_short_12: XXA2EU25O4KK · pith_short_16: XXA2EU25O4KKH7J6 · pith_short_8: XXA2EU25

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/XXA2EU25O4KKH7J6QLOVJ7GTQB \
  | 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: bdc1a2535d7714a3fd3e82dd54fcd3805d167fac45a27ef39cf384bc1e5c1369

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f178bcd7a39e41318affb53016389ceacc897c8ad00dd39eeb6262879f69f3c",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2019-08-20T18:43:34Z",
    "title_canon_sha256": "c5894458571464614177e9cdb8b8eeb876060145f7a4decadc55d8a047406002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07565",
    "kind": "arxiv",
    "version": 2
  }
}