Pith Number

pith:HCVA652T

pith:2025:HCVA652TVVNIPJLIGY5UEJISAR

not attested not anchored not stored refs pending

Intrinsic and Extrinsic Organized Attention: Softmax Invariance and Network Sparsity

Oluwadamilola Fasina, Pei-Chun Su, Ronald R. Coifman, Ruben V.C. Pohle

arxiv:2506.15541 v1 · 2025-06-18 · math.NA · cs.AI · cs.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{HCVA652TVVNIPJLIGY5UEJISAR}

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	2026-07-05T11:23:45.857063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38aa0f7753ad5a87a568363b4225120461820ed3c1fda38a127ec265c9156f32

Aliases

arxiv: 2506.15541 · arxiv_version: 2506.15541v1 · doi: 10.48550/arxiv.2506.15541 · pith_short_12: HCVA652TVVNI · pith_short_16: HCVA652TVVNIPJLI · pith_short_8: HCVA652T

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/HCVA652TVVNIPJLIGY5UEJISAR \
  | 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: 38aa0f7753ad5a87a568363b4225120461820ed3c1fda38a127ec265c9156f32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0fd251b0b9db0d2b62ba3e8dd3c017d480603281867266b067067f44f4eae6",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-18T15:14:56Z",
    "title_canon_sha256": "c01288d3280de0ac386fe2fa7e21eda3f532325d7bedf854b92a67ba43ae16fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15541",
    "kind": "arxiv",
    "version": 1
  }
}