Pith Number

pith:U2WG6CST

pith:2026:U2WG6CSTGV5VSJNZ65FYGNYSUN

not attested not anchored not stored refs pending

Observable Patterns Are Not Explanations: A Causal-Geometric Analysis of Latent Reasoning Models

Darpan Aswal, Maxime Peyrard, Thomas Palmeira Ferraz, Yongxin Zhou

arxiv:2606.12689 v1 · 2026-06-10 · 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{U2WG6CSTGV5VSJNZ65FYGNYSUN}

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	2026-06-12T01:08:45.594851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ac6f0a53357b5925b9f74b833712a35688cf7650bd2e2dfc8bd5209298b4a1

Aliases

arxiv: 2606.12689 · arxiv_version: 2606.12689v1 · doi: 10.48550/arxiv.2606.12689 · pith_short_12: U2WG6CSTGV5V · pith_short_16: U2WG6CSTGV5VSJNZ · pith_short_8: U2WG6CST

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/U2WG6CSTGV5VSJNZ65FYGNYSUN \
  | 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: a6ac6f0a53357b5925b9f74b833712a35688cf7650bd2e2dfc8bd5209298b4a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e0245493f8ec7b09a8f1021e160271913248dad7286f78619b44490ee88334f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-10T21:23:22Z",
    "title_canon_sha256": "d61f3784d40bbcba33ed575816f2495d2273e18864cce0e39329dc6a7bb8fb37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12689",
    "kind": "arxiv",
    "version": 1
  }
}