Pith Number

pith:24CUQR4C

pith:2026:24CUQR4CIVUJMPAJQQ36V4NTLX

not attested not anchored not stored refs pending

Trajectory Geometry of Transformer Representations Across Layers

Gopal Singh, Vishal Pandey

arxiv:2606.09287 v1 · 2026-06-08 · 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{24CUQR4CIVUJMPAJQQ36V4NTLX}

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	2026-06-09T02:08:12.553478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7054847824568963c098437eaf1b35dcc7b2275e3ad79d561ee22ce3ece628e

Aliases

arxiv: 2606.09287 · arxiv_version: 2606.09287v1 · doi: 10.48550/arxiv.2606.09287 · pith_short_12: 24CUQR4CIVUJ · pith_short_16: 24CUQR4CIVUJMPAJ · pith_short_8: 24CUQR4C

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/24CUQR4CIVUJMPAJQQ36V4NTLX \
  | 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: d7054847824568963c098437eaf1b35dcc7b2275e3ad79d561ee22ce3ece628e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbf945fb8c40b14f934cc40fee49f623e9b5124051a653e3a04896f06ea1a2cf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-08T09:54:07Z",
    "title_canon_sha256": "24bf692463c98dda8a8bcdedf60b9e801c1b055cedfacb3504ede68f2402f47a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09287",
    "kind": "arxiv",
    "version": 1
  }
}