Pith Number

pith:2OWFFTWG

pith:2017:2OWFFTWGVOSXOPJFQAXVNT4S2J

not attested not anchored not stored refs pending

Parallelizing Over Artificial Neural Network Training Runs with Multigrid

Jacob B. Schroder

arxiv:1708.02276 v2 · 2017-08-07 · cs.NA · 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{2OWFFTWGVOSXOPJFQAXVNT4S2J}

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	2026-05-18T00:33:58.677717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3ac52cec6aba5773d25802f56cf92d25029ea9fdf28e7e077ca7c198389e270

Aliases

arxiv: 1708.02276 · arxiv_version: 1708.02276v2 · doi: 10.48550/arxiv.1708.02276 · pith_short_12: 2OWFFTWGVOSX · pith_short_16: 2OWFFTWGVOSXOPJF · pith_short_8: 2OWFFTWG

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/2OWFFTWGVOSXOPJFQAXVNT4S2J \
  | 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: d3ac52cec6aba5773d25802f56cf92d25029ea9fdf28e7e077ca7c198389e270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d49dbfd6e67c294d2ddbca5f41baa3ce8a0dcf248cc7480d188498c9be0d52",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NA",
    "submitted_at": "2017-08-07T19:42:24Z",
    "title_canon_sha256": "0085679f36818c2d1272b6660e237f4c450d4e6bc01b696eaacd3742a8332b45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02276",
    "kind": "arxiv",
    "version": 2
  }
}