Pith Number

pith:USBF6IVM

pith:2026:USBF6IVMR5HSMGEOB6DYH7EZ7U

not attested not anchored not stored refs pending

Your Autoregressive Model Already Reveals the Causal Graph

Hugo Math, Rainer Lienhart

arxiv:2602.01135 v3 · 2026-02-01 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USBF6IVMR5HSMGEOB6DYH7EZ7U}

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	2026-06-03T01:05:48.377861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4825f22ac8f4f26188e0f8783fc99fd1eb9e35641dd0d57fce6854c75eaa910

Aliases

arxiv: 2602.01135 · arxiv_version: 2602.01135v3 · doi: 10.48550/arxiv.2602.01135 · pith_short_12: USBF6IVMR5HS · pith_short_16: USBF6IVMR5HSMGEO · pith_short_8: USBF6IVM

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/USBF6IVMR5HSMGEOB6DYH7EZ7U \
  | 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: a4825f22ac8f4f26188e0f8783fc99fd1eb9e35641dd0d57fce6854c75eaa910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b5fc0f965ad1f40b87661b8514e0e773a54c1ac53a8131731e203266282c6c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-01T10:18:27Z",
    "title_canon_sha256": "ae65f4a76f256a32ccc11a7bfc6a666bf811b4fed5e979bcb5316f16eeca4240"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.01135",
    "kind": "arxiv",
    "version": 3
  }
}