Pith Number

pith:DKVYV7KC

pith:2024:DKVYV7KCQNALQXPE3E2TY2GZZV

not attested not anchored not stored refs pending

Implicit Geometry of Next-token Prediction: From Language Sparsity Patterns to Model Representations

Christos Thrampoulidis, Tina Behnia, Vala Vakilian, Yize Zhao

arxiv:2408.15417 v2 · 2024-08-27 · cs.CL · 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{DKVYV7KCQNALQXPE3E2TY2GZZV}

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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.

Cited by

2 papers in Pith

Deep sequence models tend to memorize geometrically; it is unclear why

Scale Determines Whether Language Models Organize Representation Geometry for Prediction

Receipt and verification

First computed	2026-07-05T10:16:37.625823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aab8afd428340b85de4d9353c68d9cd499247aa77e35b385bfbd752207ebacf

Aliases

arxiv: 2408.15417 · arxiv_version: 2408.15417v2 · doi: 10.48550/arxiv.2408.15417 · pith_short_12: DKVYV7KCQNAL · pith_short_16: DKVYV7KCQNALQXPE · pith_short_8: DKVYV7KC

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/DKVYV7KCQNALQXPE3E2TY2GZZV \
  | 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: 1aab8afd428340b85de4d9353c68d9cd499247aa77e35b385bfbd752207ebacf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c68a60336b6a57c41d16738092703a7f132e04cee17e045bfd5dfb74b2a35cef",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2024-08-27T21:46:47Z",
    "title_canon_sha256": "b1ff173b1e1e1d23bfb14ce9daacd593c2e699bc3dede5c2728b2392c1358d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.15417",
    "kind": "arxiv",
    "version": 2
  }
}