Pith Number

pith:AUGOL3RK

pith:2025:AUGOL3RKSLE222EEGTX47MMWBP

not attested not anchored not stored refs pending

Softmax as Linear Attention in the Large-Prompt Regime: a Measure-based Perspective

Claire Boyer, Etienne Boursier

arxiv:2512.11784 v2 · 2025-12-12 · cs.LG · 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{AUGOL3RKSLE222EEGTX47MMWBP}

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

Propagation of Chaos in Contextual Flow Maps

Receipt and verification

First computed	2026-06-19T16:10:33.531622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

050ce5ee2a92c9ad688434efcfb1960be7700c2e961586b79ed2f61d38920f8d

Aliases

arxiv: 2512.11784 · arxiv_version: 2512.11784v2 · doi: 10.48550/arxiv.2512.11784 · pith_short_12: AUGOL3RKSLE2 · pith_short_16: AUGOL3RKSLE222EE · pith_short_8: AUGOL3RK

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/AUGOL3RKSLE222EEGTX47MMWBP \
  | 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: 050ce5ee2a92c9ad688434efcfb1960be7700c2e961586b79ed2f61d38920f8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5080abe99dc1944bf11c54c37a7848d220da607852c70d69ea03c57daea32793",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-12-12T18:54:52Z",
    "title_canon_sha256": "afcbd8bd8836373493d5c2202625850cb506944f0e11e1ce0f25d27bca0ae76c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.11784",
    "kind": "arxiv",
    "version": 2
  }
}