Pith Number

pith:3H5NSZBV

pith:2025:3H5NSZBVMYCGMSR7PTHMBRKBXW

not attested not anchored not stored refs pending

Attention's forward pass and Frank-Wolfe

Albert Alcalde, Borjan Geshkovski, Dom\`enec Ruiz-Balet

arxiv:2508.09628 v1 · 2025-08-13 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3H5NSZBVMYCGMSR7PTHMBRKBXW}

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

3 papers in Pith

Propagation of Chaos in Contextual Flow Maps

Perceptrons and localization of attention's mean-field landscape

Quantifying Concentration Phenomena of Mean-Field Transformers in the Low-Temperature Regime

Receipt and verification

First computed	2026-07-05T11:53:18.608169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9fad964356604664a3f7ccec0c541bda15b622243bb079aa8646f3b2a62ad73

Aliases

arxiv: 2508.09628 · arxiv_version: 2508.09628v1 · doi: 10.48550/arxiv.2508.09628 · pith_short_12: 3H5NSZBVMYCG · pith_short_16: 3H5NSZBVMYCGMSR7 · pith_short_8: 3H5NSZBV

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/3H5NSZBVMYCGMSR7PTHMBRKBXW \
  | 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: d9fad964356604664a3f7ccec0c541bda15b622243bb079aa8646f3b2a62ad73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a93f30cf86985bae14165432c810f64b0a84172241e598174de82ab52ca62d19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-08-13T08:59:13Z",
    "title_canon_sha256": "7ca0508aaa0e1cbc11a07d32556e1fb48fdc56e53359862bbf5c0920ac6c0771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09628",
    "kind": "arxiv",
    "version": 1
  }
}