Pith Number

pith:CFNYOKQM

pith:2025:CFNYOKQMR6CYOCOLNPSI5NMCYR

not attested not anchored not stored refs pending

How Do Transformers Learn Variable Binding in Symbolic Programs?

Atticus Geiger, Rapha\"el Milli\`ere, Yiwei Wu

arxiv:2505.20896 v2 · 2025-05-27 · cs.LG · cs.AI · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFNYOKQMR6CYOCOLNPSI5NMCYR}

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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

5 papers in Pith

Radical AI Interpretability

Formalizing the Binding Problem

Assign and Add: A Mechanistic Study of Compositional Arithmetic

Do Transformers Use their Depth Adaptively? Evidence from a Relational Reasoning Task

When Symbol Names Should Not Matter: A Logistic Theory of Fresh-Symbol Classification

Receipt and verification

First computed	2026-07-05T11:13:27.140727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

115b872a0c8f858709cb6be48eb582c46e8caeb2a737868486aee85e00e70e16

Aliases

arxiv: 2505.20896 · arxiv_version: 2505.20896v2 · doi: 10.48550/arxiv.2505.20896 · pith_short_12: CFNYOKQMR6CY · pith_short_16: CFNYOKQMR6CYOCOL · pith_short_8: CFNYOKQM

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/CFNYOKQMR6CYOCOLNPSI5NMCYR \
  | 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: 115b872a0c8f858709cb6be48eb582c46e8caeb2a737868486aee85e00e70e16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6beb27faae481416b7aec83f70cd72fe1f1da32872f5326bcd261e9e5b535d0c",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-27T08:39:20Z",
    "title_canon_sha256": "7f235d2d3965e0e75f5fb320e8b146192290987fed0e63683d3f4969376b69ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20896",
    "kind": "arxiv",
    "version": 2
  }
}