Pith Number

pith:GBJNSKTG

pith:2024:GBJNSKTG7DLOXKZREXFNXINFMJ

not attested not anchored not stored refs pending

Fourier Head: Helping Large Language Models Learn Complex Probability Distributions

Chen Sun, Daksh Aggarwal, Michael Freeman, Nate Gillman, Saurabh Singh

arxiv:2410.22269 v2 · 2024-10-29 · cs.LG · cs.AI · cs.CL · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBJNSKTG7DLOXKZREXFNXINFMJ}

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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:28:25.400941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3052d92a66f8d6ebab3125cadba1a56267eedf307a79f8d42d498489765d0209

Aliases

arxiv: 2410.22269 · arxiv_version: 2410.22269v2 · doi: 10.48550/arxiv.2410.22269 · pith_short_12: GBJNSKTG7DLO · pith_short_16: GBJNSKTG7DLOXKZR · pith_short_8: GBJNSKTG

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/GBJNSKTG7DLOXKZREXFNXINFMJ \
  | 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: 3052d92a66f8d6ebab3125cadba1a56267eedf307a79f8d42d498489765d0209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec224498ec48920c5d43ee1b6c5995948dbe5ab2f3e68bd400e16872d2898834",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-29T17:27:58Z",
    "title_canon_sha256": "5cf81862e34387226f094d576c546361a8a4d10b675a3aacf6263aa8e8cc39e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.22269",
    "kind": "arxiv",
    "version": 2
  }
}