Pith Number

pith:IDY3ARRM

pith:2019:IDY3ARRMVIVTKAS3ZVLXL3OGFP

not attested not anchored not stored refs pending

The emergence of informative higher scales in complex networks

Brennan Klein, Erik Hoel

arxiv:1907.03902 v2 · 2019-07-08 · 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{IDY3ARRMVIVTKAS3ZVLXL3OGFP}

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

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

Receipt and verification

First computed	2026-07-05T00:35:01.176677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f1b0462caa2b35025bcd5775edc62be7242e479f4c3c68459ad5017e86039a

Aliases

arxiv: 1907.03902 · arxiv_version: 1907.03902v2 · doi: 10.48550/arxiv.1907.03902 · pith_short_12: IDY3ARRMVIVT · pith_short_16: IDY3ARRMVIVTKAS3 · pith_short_8: IDY3ARRM

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/IDY3ARRMVIVTKAS3ZVLXL3OGFP \
  | 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: 40f1b0462caa2b35025bcd5775edc62be7242e479f4c3c68459ad5017e86039a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b998cf0b0b9d1b646fa36d55b4b87aab0f52e4d42ccae4f44e855d8645f0b700",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-07-08T23:00:27Z",
    "title_canon_sha256": "4fc11fdb1a84eb0c7f451aa1edf27d629e21b33c60bb9608e326359ec598d0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03902",
    "kind": "arxiv",
    "version": 2
  }
}