Pith Number

pith:7ASKU3ZH

pith:2022:7ASKU3ZH6QLJDOG5VVVKIUFFLH

not attested not anchored not stored refs pending

Quantify the Causes of Causal Emergence: Critical Conditions of Uncertainty and Asymmetry in Causal Structure

Erick Purwanto, Fengyufan Yang, Jeremy Smith, Ka Lok Man, Liye Jia, Sheng-Uei Guan, Yutao Yue

arxiv:2212.01551 v3 · 2022-12-03 · cs.IT · cs.AI · math.IT · physics.comp-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{7ASKU3ZH6QLJDOG5VVVKIUFFLH}

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	2026-07-05T07:53:06.432163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f824aa6f27f41691b8ddad6aa450a559fc2ac6c1b7355bca7537fd2bc8b5b27c

Aliases

arxiv: 2212.01551 · arxiv_version: 2212.01551v3 · doi: 10.48550/arxiv.2212.01551 · pith_short_12: 7ASKU3ZH6QLJ · pith_short_16: 7ASKU3ZH6QLJDOG5 · pith_short_8: 7ASKU3ZH

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/7ASKU3ZH6QLJDOG5VVVKIUFFLH \
  | 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: f824aa6f27f41691b8ddad6aa450a559fc2ac6c1b7355bca7537fd2bc8b5b27c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bcec922e16b8fd93c60c5e026bf30f2670e136ab1eab3190cee8571d458293c",
    "cross_cats_sorted": [
      "cs.AI",
      "math.IT",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-12-03T06:35:54Z",
    "title_canon_sha256": "55a9671599c0f294d3e0b25a667ce2ff87e6032a83d198f0d10755776c23716d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.01551",
    "kind": "arxiv",
    "version": 3
  }
}