Pith Number

pith:5SAN2IAE

pith:2026:5SAN2IAE4BJZU7LVPW66BIALUH

not attested not anchored not stored refs pending

Breaking chains with trees: Deep learning with $\mathcal{O}(\log N)$ parallel time complexity

Aditya Nagarsekar, Amit Kumar Pal, Anand Subramoney, Cabrel Teguemne Fokam, David Kappel, Neeraj Mohan Sushma, Robin Schiewer

arxiv:2606.21497 v1 · 2026-06-19 · cs.LG · cs.AI · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SAN2IAE4BJZU7LVPW66BIALUH}

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	2026-06-23T01:13:12.505677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec80dd2004e0539a7d757dbde0a00ba1c989f1037fe432a133fa480153244eaf

Aliases

arxiv: 2606.21497 · arxiv_version: 2606.21497v1 · doi: 10.48550/arxiv.2606.21497 · pith_short_12: 5SAN2IAE4BJZ · pith_short_16: 5SAN2IAE4BJZU7LV · pith_short_8: 5SAN2IAE

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/5SAN2IAE4BJZU7LVPW66BIALUH \
  | 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: ec80dd2004e0539a7d757dbde0a00ba1c989f1037fe432a133fa480153244eaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f32a1b33d1cfd48fe3b9bfb5b6e270be233f9ad8a98a4d9ed68cb1ef8feb79a",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-19T14:44:07Z",
    "title_canon_sha256": "46a71ea4dbe2b732bd5fe0077096403ac3c8a93802827844407029e8f73c9335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21497",
    "kind": "arxiv",
    "version": 1
  }
}