Pith Number

pith:NLVJQULR

pith:2026:NLVJQULRUIZMJEMZ4LYDVRHKUU

not attested not anchored not stored refs pending

Is Backpropagation Optimal? When Synthetic Gradients Improve Sample Efficiency

Sanmi Koyejo, Yibo Jacky Zhang, Zeyu Tang

arxiv:2605.27946 v1 · 2026-05-27 · stat.ML · 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{NLVJQULRUIZMJEMZ4LYDVRHKUU}

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	2026-05-28T01:04:53.594320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aea985171a232c49199e2f03ac4eaa50302ee09a8ed37413feb585ddaed21ec

Aliases

arxiv: 2605.27946 · arxiv_version: 2605.27946v1 · doi: 10.48550/arxiv.2605.27946 · pith_short_12: NLVJQULRUIZM · pith_short_16: NLVJQULRUIZMJEMZ · pith_short_8: NLVJQULR

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/NLVJQULRUIZMJEMZ4LYDVRHKUU \
  | 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: 6aea985171a232c49199e2f03ac4eaa50302ee09a8ed37413feb585ddaed21ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bf41dec24519f4b17f50574e8cf84be55d2e562314eb806fbe0277adc4e0873",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-27T04:37:04Z",
    "title_canon_sha256": "acdf3c1e62ec88aae13237c7e9236640ad0c0ce22fa71b8a4bbba4f7b4b72093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27946",
    "kind": "arxiv",
    "version": 1
  }
}