Pith Number

pith:7MKHZY73

pith:2026:7MKHZY73OV5V47EZGVMDV6KFUV

not attested not anchored not stored refs pending

When Does Sparsity Mitigate the Curse of Depth in LLMs

Dilxat Muhtar, Max Zimmer, Nico Pelleriti, Sebastian Pokutta, Shiwei Liu, Thomas Hofmann, Xinyuan Song

arxiv:2603.15389 v2 · 2026-03-16 · 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{7MKHZY73OV5V47EZGVMDV6KFUV}

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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

3 papers in Pith

From Words to Amino Acids: Does the Curse of Depth Persist?

Motion-Aware Caching for Efficient Autoregressive Video Generation

Pion: A Spectrum-Preserving Optimizer via Orthogonal Equivalence Transformation

Receipt and verification

First computed	2026-06-30T01:16:29.277646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb147ce3fb757b5e7c9935583af945a55c5b54a2d9f7dcb0057b7f176dddd65d

Aliases

arxiv: 2603.15389 · arxiv_version: 2603.15389v2 · doi: 10.48550/arxiv.2603.15389 · pith_short_12: 7MKHZY73OV5V · pith_short_16: 7MKHZY73OV5V47EZ · pith_short_8: 7MKHZY73

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/7MKHZY73OV5V47EZGVMDV6KFUV \
  | 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: fb147ce3fb757b5e7c9935583af945a55c5b54a2d9f7dcb0057b7f176dddd65d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd582aeec9f5c2a97e2001286952dc4f09532d296c3646658fa0fabdbe205904",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-03-16T15:04:16Z",
    "title_canon_sha256": "3ff0ef652af33fcfc4e731235f9f8ab8ad1631307b1ad032fd6a071a64f9a480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.15389",
    "kind": "arxiv",
    "version": 2
  }
}