Pith Number

pith:6I5VPMOK

pith:2024:6I5VPMOKRLCGX3VCK67XQAXUYY

not attested not anchored not stored refs pending

Fourier Position Embedding: Enhancing Attention's Periodic Extension for Length Generalization

Biqing Qi, Bowen Zhou, Che Jiang, Ermo Hua, Kaiyan Zhang, Ning Ding, Xingtai Lv, Xuekai Zhu, Youbang Sun, Yuchen Fan

arxiv:2412.17739 v4 · 2024-12-23 · 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{6I5VPMOKRLCGX3VCK67XQAXUYY}

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.

Cited by

7 papers in Pith

Mix-MoE: Improving Multilingual Machine Translation of Large Language Models through Mixed MoEs

LazyAttention: Efficient Retrieval-Augmented Generation with Deferred Positional Encoding

Weierstrass Positional Encoding for Vision Transformers

Mitigating Coordinate Prediction Bias from Positional Encoding Failures

UCAN: Unified Convolutional Attention Network for Expansive Receptive Fields in Lightweight Super-Resolution

Receipt and verification

First computed	2026-07-05T11:36:26.484814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f23b57b1ca8ac46beea257bf7802f4c6201855efd791fbade1d9f7e1e7321635

Aliases

arxiv: 2412.17739 · arxiv_version: 2412.17739v4 · doi: 10.48550/arxiv.2412.17739 · pith_short_12: 6I5VPMOKRLCG · pith_short_16: 6I5VPMOKRLCGX3VC · pith_short_8: 6I5VPMOK

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/6I5VPMOKRLCGX3VCK67XQAXUYY \
  | 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: f23b57b1ca8ac46beea257bf7802f4c6201855efd791fbade1d9f7e1e7321635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c632b26fd681f536b10fb9ba9bf9c5dc145b6782fcce6873e35106e39045f42",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2024-12-23T17:44:01Z",
    "title_canon_sha256": "fcc63b11546079b4d466f36c0b8fcd4a091caa842316b60bfb0e9c3b1ec3423a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17739",
    "kind": "arxiv",
    "version": 4
  }
}