Pith Number

pith:7BRVTDP5

pith:2024:7BRVTDP5ITBO6IOVGG3PRZBTSP

not attested not anchored not stored refs pending

Multi-Layer Transformers Gradient Can be Approximated in Almost Linear Time

Yingyu Liang, Yufa Zhou, Zhao Song, Zhenmei Shi, Zhizhou Sha

arxiv:2408.13233 v2 · 2024-08-23 · cs.LG · cs.AI · 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{7BRVTDP5ITBO6IOVGG3PRZBTSP}

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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

1 paper in Pith

GRACE: A Dynamic Coreset Selection Framework for Large Language Model Optimization

Receipt and verification

First computed	2026-07-05T09:20:47.245813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f863598dfd44c2ef21d531b6f8e43393d1c43c14dcfcb9712be8c6559f6c13ba

Aliases

arxiv: 2408.13233 · arxiv_version: 2408.13233v2 · doi: 10.48550/arxiv.2408.13233 · pith_short_12: 7BRVTDP5ITBO · pith_short_16: 7BRVTDP5ITBO6IOV · pith_short_8: 7BRVTDP5

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/7BRVTDP5ITBO6IOVGG3PRZBTSP \
  | 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: f863598dfd44c2ef21d531b6f8e43393d1c43c14dcfcb9712be8c6559f6c13ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fc448cdc62efcb4b13d1ceb9a1755dcf17fbb7b1b1ab7a5ba506b34b562da5",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-08-23T17:16:43Z",
    "title_canon_sha256": "aa76071ada333c239508e30174d87a0598cc89a4db5507dec1853b58c65e8b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.13233",
    "kind": "arxiv",
    "version": 2
  }
}