Pith Number

pith:POKFP6OC

pith:2026:POKFP6OCYOCQ64NHNEJG7AT25X

not attested not anchored not stored refs pending

Language Modeling with Hyperspherical Flows

Caglar Gulcehre, Justin Deschenaux

S-FLM rotates vectors on the hypersphere to let continuous flow language models approach masked diffusion on reasoning tasks.

arxiv:2605.11125 v2 · 2026-05-11 · cs.LG

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\usepackage{pith}
\pithnumber{POKFP6OCYOCQ64NHNEJG7AT25X}

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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.

Claims

C1strongest claim

S-FLM substantially improves continuous flow language models on large-vocabulary reasoning and closes the gap to masked diffusion under standard-temperature sampling (T=1), while a gap remains under optimized low-temperature (T=0.1) decoding.

C2weakest assumption

That rotating vectors on the hypersphere along a learned velocity field provides a semantically meaningful transport from noise to data, unlike the equidistant one-hot vectors used in prior FLMs.

C3one line summary

S-FLM rotates vectors on a hypersphere using a learned velocity field to generate language sequences, improving continuous flow models on large-vocabulary reasoning and closing the gap to masked diffusion at standard sampling temperature.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:17.323579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b9457f9c2c3850f71a769126f827aedfad77e473242884f12d147b28b150667

Aliases

arxiv: 2605.11125 · arxiv_version: 2605.11125v2 · doi: 10.48550/arxiv.2605.11125 · pith_short_12: POKFP6OCYOCQ · pith_short_16: POKFP6OCYOCQ64NH · pith_short_8: POKFP6OC

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/POKFP6OCYOCQ64NHNEJG7AT25X \
  | 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: 7b9457f9c2c3850f71a769126f827aedfad77e473242884f12d147b28b150667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c1d93b0ab4c07bab89bfb895a6b1534d3b13139c60811c54c05609dda45629f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-11T18:32:32Z",
    "title_canon_sha256": "7dd277264b8017cb3edc7f4dd13a76827cf243306fcffe9f01e74e7f84281b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11125",
    "kind": "arxiv",
    "version": 2
  }
}