Pith Number

pith:R6X2YCE4

pith:2026:R6X2YCE4THZDXIGY7KRIVD6T4K

not attested not anchored not stored refs pending

Critical Percolation as a Synthetic Data Model for Interpretability

Aryeh Brill, Tom Ingebretsen Carlson

arxiv:2606.20347 v1 · 2026-06-18 · cs.LG · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6X2YCE4THZDXIGY7KRIVD6T4K}

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	2026-06-19T16:13:09.519757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fafac089c99f23ba0d8faa28a8fd3e2935129ee39ef20962b9a4066993937cd

Aliases

arxiv: 2606.20347 · arxiv_version: 2606.20347v1 · doi: 10.48550/arxiv.2606.20347 · pith_short_12: R6X2YCE4THZD · pith_short_16: R6X2YCE4THZDXIGY · pith_short_8: R6X2YCE4

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/R6X2YCE4THZDXIGY7KRIVD6T4K \
  | 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: 8fafac089c99f23ba0d8faa28a8fd3e2935129ee39ef20962b9a4066993937cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3af7d9d032aa6c998fff3822496412fa852ee776fdb99c4605275b0bdc17ed86",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-18T15:15:57Z",
    "title_canon_sha256": "2934368f1ac67b3e49e98e3c80dba5a25f3e2d41d50e6fb5afb1853f37f62378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20347",
    "kind": "arxiv",
    "version": 1
  }
}