Pith Number

pith:26R3JSV2

pith:2024:26R3JSV2BYOUCH6QQ2JEMUREFH

not attested not anchored not stored refs pending

Gradients of Functions of Large Matrices

Hrittik Roy, Nicholas Kr\"amer, Pablo Moreno-Mu\~noz, S{\o}ren Hauberg

arxiv:2405.17277 v2 · 2024-05-27 · cs.LG · cs.NA · math.NA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26R3JSV2BYOUCH6QQ2JEMUREFH}

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	2026-07-05T09:25:43.623937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7a3b4caba0e1d411fd0869246522429c750dce47543b9539158266e667e528f

Aliases

arxiv: 2405.17277 · arxiv_version: 2405.17277v2 · doi: 10.48550/arxiv.2405.17277 · pith_short_12: 26R3JSV2BYOU · pith_short_16: 26R3JSV2BYOUCH6Q · pith_short_8: 26R3JSV2

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/26R3JSV2BYOUCH6QQ2JEMUREFH \
  | 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: d7a3b4caba0e1d411fd0869246522429c750dce47543b9539158266e667e528f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "155bf3718d23b9b23b6055102f06b69d77b5574232e5cb18f9d38a2508e7e335",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-05-27T15:39:45Z",
    "title_canon_sha256": "a1a5c0bd551f4db934333af546fed14a2668c11b877c66370aab5dc38da5445e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.17277",
    "kind": "arxiv",
    "version": 2
  }
}