Pith Number

pith:PYYQ3SJH

pith:2021:PYYQ3SJHBNN2DCVRRVEI7GBYKF

not attested not anchored not stored refs pending

Coupled Gradient Estimators for Discrete Latent Variables

Andriy Mnih, George Tucker, Zhe Dong

arxiv:2106.08056 v2 · 2021-06-15 · cs.LG · 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{PYYQ3SJHBNN2DCVRRVEI7GBYKF}

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	2026-07-05T05:15:57.046624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e310dc9270b5ba18ab18d488f98385143f0e201f108d1bb1a6e76c794eb8dbe

Aliases

arxiv: 2106.08056 · arxiv_version: 2106.08056v2 · doi: 10.48550/arxiv.2106.08056 · pith_short_12: PYYQ3SJHBNN2 · pith_short_16: PYYQ3SJHBNN2DCVR · pith_short_8: PYYQ3SJH

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/PYYQ3SJHBNN2DCVRRVEI7GBYKF \
  | 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: 7e310dc9270b5ba18ab18d488f98385143f0e201f108d1bb1a6e76c794eb8dbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d67fdc191cfb3af9cb923e44b96f011d92258bc72b75aafa26460cd7c70c2f",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-06-15T11:28:44Z",
    "title_canon_sha256": "1b2a50148187743b6f5b3124b717fad4e27bd3f49249fad23d1e2fb067033c5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.08056",
    "kind": "arxiv",
    "version": 2
  }
}