Pith Number

pith:MTYAWG2S

pith:2025:MTYAWG2SG5WN56PPXCETARVEPK

not attested not anchored not stored refs pending

Algorithmic causal structure emerging through compression

Bernhard Sch\"olkopf, Liang Wendong, Simon Buchholz

arxiv:2502.04210 v3 · 2025-02-06 · cs.LG · cs.AI · cs.CC · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTYAWG2SG5WN56PPXCETARVEPK}

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	2026-07-05T10:36:35.650125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64f00b1b52376cdef9efb8893046a47a856c139b2e3705751af24fb15d307704

Aliases

arxiv: 2502.04210 · arxiv_version: 2502.04210v3 · doi: 10.48550/arxiv.2502.04210 · pith_short_12: MTYAWG2SG5WN · pith_short_16: MTYAWG2SG5WN56PP · pith_short_8: MTYAWG2S

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/MTYAWG2SG5WN56PPXCETARVEPK \
  | 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: 64f00b1b52376cdef9efb8893046a47a856c139b2e3705751af24fb15d307704

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e59e467d491f0b81b45bad5abee7b0f8c14691706f9c11c77016bfccdc95b8f3",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CC",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-06T16:50:57Z",
    "title_canon_sha256": "0fc2fae98952850b62b3b5f95e2b1c0824f7b4b214c6ea5f1a1822f49c79181d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04210",
    "kind": "arxiv",
    "version": 3
  }
}