Pith Number

pith:Q2MJXQ4G

pith:2026:Q2MJXQ4GHXEMRFB464ZQOU2VX6

not attested not anchored not stored refs pending

An Analysis of Residual-Stream Geometry Across Transformer Depth

Ravi Shankar Kolli, Sunit Bhattacharya

arxiv:2607.18348 v1 · 2026-07-20 · 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{Q2MJXQ4GHXEMRFB464ZQOU2VX6}

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	2026-07-22T00:22:42.811842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86989bc3863dc8c8943cf733075355bfbede6e54269bdb8787539814f1b643e2

Aliases

arxiv: 2607.18348 · arxiv_version: 2607.18348v1 · doi: 10.48550/arxiv.2607.18348 · pith_short_12: Q2MJXQ4GHXEM · pith_short_16: Q2MJXQ4GHXEMRFB4 · pith_short_8: Q2MJXQ4G

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/Q2MJXQ4GHXEMRFB464ZQOU2VX6 \
  | 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: 86989bc3863dc8c8943cf733075355bfbede6e54269bdb8787539814f1b643e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edfa57052b1995eb3eb1a13ae2cbb713cdedb530b34136a67b32382f02ba8d73",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-20T08:43:22Z",
    "title_canon_sha256": "aa015874514d9cc82b3b658c2c8e47d2205bf50e6e361bd6bea2b4e8ba660dcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18348",
    "kind": "arxiv",
    "version": 1
  }
}