Pith Number

pith:KCDYPYPQ

pith:2026:KCDYPYPQBKPQBN2KDLHUWUD5ZK

not attested not anchored not stored refs pending

Sparse In-Network Learning via Shortest-Path Backpropagation and Finite-Rate Gating

Mohammad Reza Deylam Salehi

arxiv:2605.23424 v1 · 2026-05-22 · cs.IT · cs.LG · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCDYPYPQBKPQBN2KDLHUWUD5ZK}

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	2026-05-25T02:01:53.723164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

508787e1f00a9f00b74a1acf4b507dcaadfc1423737a695fbe1745147bc37d7c

Aliases

arxiv: 2605.23424 · arxiv_version: 2605.23424v1 · doi: 10.48550/arxiv.2605.23424 · pith_short_12: KCDYPYPQBKPQ · pith_short_16: KCDYPYPQBKPQBN2K · pith_short_8: KCDYPYPQ

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/KCDYPYPQBKPQBN2KDLHUWUD5ZK \
  | 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: 508787e1f00a9f00b74a1acf4b507dcaadfc1423737a695fbe1745147bc37d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba53f439cc71a0d29e76067bb2fbecede886098d1f09c06932ca09dfbe8e2e3d",
    "cross_cats_sorted": [
      "cs.LG",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-05-22T09:35:05Z",
    "title_canon_sha256": "e2007f7f482f069be8ab6aaab688722a9a8c16a30b4405069eb6fc4c302c0df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23424",
    "kind": "arxiv",
    "version": 1
  }
}