Pith Number

pith:BJ2Q55Y4

pith:2025:BJ2Q55Y4DNAOVJLXRPXPDUDXUW

not attested not anchored not stored refs pending

Covariant Gradient Descent

Dmitry Guskov, Vitaly Vanchurin

arxiv:2504.05279 v2 · 2025-04-07 · cs.LG · hep-th · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJ2Q55Y4DNAOVJLXRPXPDUDXUW}

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	2026-07-05T10:47:57.879966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a750ef71c1b40eaa5778beef1d077a5991494f8cd30b5d63434d4ce8d242846

Aliases

arxiv: 2504.05279 · arxiv_version: 2504.05279v2 · doi: 10.48550/arxiv.2504.05279 · pith_short_12: BJ2Q55Y4DNAO · pith_short_16: BJ2Q55Y4DNAOVJLX · pith_short_8: BJ2Q55Y4

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/BJ2Q55Y4DNAOVJLXRPXPDUDXUW \
  | 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: 0a750ef71c1b40eaa5778beef1d077a5991494f8cd30b5d63434d4ce8d242846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070acf4d8ec348ecfb09bee8e965ab71505964c14676135c88031fad58c87612",
    "cross_cats_sorted": [
      "hep-th",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-04-07T17:25:50Z",
    "title_canon_sha256": "1883133274bebf0a3ac212490fba3d86d76c98ac5fd25c57864c96b3ad910462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05279",
    "kind": "arxiv",
    "version": 2
  }
}