Pith Number

pith:DUKDPD7B

pith:2025:DUKDPD7BFDJFM44Y4VIHZB5D7R

not attested not anchored not stored refs pending

Compressed Computation: Dense Circuits in a Toy Model of the Universal-AND Problem

Adam Newgas

arxiv:2507.09816 v1 · 2025-07-13 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUKDPD7BFDJFM44Y4VIHZB5D7R}

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	2026-07-05T11:36:40.262105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d14378fe128d2567398e5507c87a3fc5942a0dff8b694b2356da01ba797b8c2

Aliases

arxiv: 2507.09816 · arxiv_version: 2507.09816v1 · doi: 10.48550/arxiv.2507.09816 · pith_short_12: DUKDPD7BFDJF · pith_short_16: DUKDPD7BFDJFM44Y · pith_short_8: DUKDPD7B

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/DUKDPD7BFDJFM44Y4VIHZB5D7R \
  | 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: 1d14378fe128d2567398e5507c87a3fc5942a0dff8b694b2356da01ba797b8c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0471a3e00f0902c71909424b2fa31f20670d49d70e3cba476da0e5441df46b7",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-13T22:18:15Z",
    "title_canon_sha256": "3470fc17c69f080de90f2ed5eb6edf1f474bd88e7c25e88b7fca5eeb6bfdba93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09816",
    "kind": "arxiv",
    "version": 1
  }
}