Pith Number

pith:HM6WSJ6K

pith:2021:HM6WSJ6K6IZMVCXBMEFODXM5KY

not attested not anchored not stored refs pending

FMMformer: Efficient and Flexible Transformer via Decomposed Near-field and Far-field Attention

Bao Wang, Long Chen, Stanley J. Osher, Tan M. Nguyen, Vai Suliafu

arxiv:2108.02347 v1 · 2021-08-05 · cs.LG · cs.AI · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HM6WSJ6K6IZMVCXBMEFODXM5KY}

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.

Receipt and verification

First computed	2026-07-05T03:03:32.077134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b3d6927caf232ca8ae1610ae1dd9d563ba269fceb557cbd6ea641fc09dd4075

Aliases

arxiv: 2108.02347 · arxiv_version: 2108.02347v1 · doi: 10.48550/arxiv.2108.02347 · pith_short_12: HM6WSJ6K6IZM · pith_short_16: HM6WSJ6K6IZMVCXB · pith_short_8: HM6WSJ6K

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/HM6WSJ6K6IZMVCXBMEFODXM5KY \
  | 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: 3b3d6927caf232ca8ae1610ae1dd9d563ba269fceb557cbd6ea641fc09dd4075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "191c65bd34e880ee782979274b80c0b9a9920a6075201c5ed0be8ba7b8b1f110",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-05T03:21:30Z",
    "title_canon_sha256": "17ade4366d3e4db4184ba33c2af1f676b2fc00c834da1e602897f22c6b6a05ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02347",
    "kind": "arxiv",
    "version": 1
  }
}