Pith Number

pith:UFK22BCZ

pith:2026:UFK22BCZ7KRWFW4XQJKQ5NYTDO

not attested not anchored not stored refs pending

Parallel Causal Associative Fields: Gated Sparse Memory for Long-Context Language Modeling

Muhammad Ahmed

arxiv:2606.10435 v1 · 2026-06-09 · cs.LG · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UFK22BCZ7KRWFW4XQJKQ5NYTDO}

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	2026-06-10T01:10:18.801967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a155ad0459faa362db9782550eb7131bb07fe4bfa01eb62a1c73492ad3740762

Aliases

arxiv: 2606.10435 · arxiv_version: 2606.10435v1 · doi: 10.48550/arxiv.2606.10435 · pith_short_12: UFK22BCZ7KRW · pith_short_16: UFK22BCZ7KRWFW4X · pith_short_8: UFK22BCZ

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/UFK22BCZ7KRWFW4XQJKQ5NYTDO \
  | 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: a155ad0459faa362db9782550eb7131bb07fe4bfa01eb62a1c73492ad3740762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5cd71048eb7ba84e763ca1950349089e29fed5b212092389eec05347fb3ed6c",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-09T05:23:17Z",
    "title_canon_sha256": "a9e8b047ec4c84e40f47dd6677027547ae5dbc1db5001bdc58eb35c397f0b77a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10435",
    "kind": "arxiv",
    "version": 1
  }
}