Pith Number

pith:GYNQAXRH

pith:2025:GYNQAXRHKXCIN76NVTKWQTPVME

not attested not anchored not stored refs pending

Discrete Functional Geometry of ReLU Networks via ReLU Transition Graphs

Sahil Rajesh Dhayalkar

arxiv:2509.03056 v2 · 2025-09-03 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYNQAXRHKXCIN76NVTKWQTPVME}

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	2026-07-05T12:04:41.374343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

361b005e2755c486ffcdacd5684df561260c55b5df7aaba9203f46fb92c8018d

Aliases

arxiv: 2509.03056 · arxiv_version: 2509.03056v2 · doi: 10.48550/arxiv.2509.03056 · pith_short_12: GYNQAXRHKXCI · pith_short_16: GYNQAXRHKXCIN76N · pith_short_8: GYNQAXRH

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/GYNQAXRHKXCIN76NVTKWQTPVME \
  | 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: 361b005e2755c486ffcdacd5684df561260c55b5df7aaba9203f46fb92c8018d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de036754938351f6e2ad0588be1cebe7484faa6c316d0bf9ad356f9921781457",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-03T06:38:22Z",
    "title_canon_sha256": "e60256b9beeaea2050d324ee216212767555df701509bb9d20c85e9298014f75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03056",
    "kind": "arxiv",
    "version": 2
  }
}