Pith Number

pith:UEVUA7TO

pith:2026:UEVUA7TO6HTICWQ6NHIYRBH6E2

not attested not anchored not stored refs pending

Reasoning Errors Have a Region and a Direction in the Residual-Stream Trajectory of LLMs

Damith Ranasinghe, Hamed Damirchi, Ignacio Meza De la Jara, Javen Shi, Yuhang Liu

arxiv:2608.05660 v1 · 2026-08-06 · cs.LG · 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{UEVUA7TO6HTICWQ6NHIYRBH6E2}

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	2026-08-07T00:52:18.895908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a12b407e6ef1e6815a1e69d18884fe268124150def86f4012366cc8d29371e55

Aliases

arxiv: 2608.05660 · arxiv_version: 2608.05660v1 · doi: 10.48550/arxiv.2608.05660 · pith_short_12: UEVUA7TO6HTI · pith_short_16: UEVUA7TO6HTICWQ6 · pith_short_8: UEVUA7TO

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/UEVUA7TO6HTICWQ6NHIYRBH6E2 \
  | 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: a12b407e6ef1e6815a1e69d18884fe268124150def86f4012366cc8d29371e55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d18fc5953ac62d66673ed133f1c67e610839d80f0a88e514b5de4dc0eb7bbb6d",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-06T06:58:10Z",
    "title_canon_sha256": "7eacbb867ff03f045f91c5ec80892517773fa6e64d4c2f03148d07b2b0d1eebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05660",
    "kind": "arxiv",
    "version": 1
  }
}