Pith Number

pith:PWDZEOU5

pith:2021:PWDZEOU5WF6IRGHQI357CR3ONV

not attested not anchored not stored refs pending

Analyzing and Improving the Optimization Landscape of Noise-Contrastive Estimation

Andrej Risteski, Bingbin Liu, Elan Rosenfeld, Pradeep Ravikumar

arxiv:2110.11271 v1 · 2021-10-21 · 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{PWDZEOU5WF6IRGHQI357CR3ONV}

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	2026-07-05T03:24:37.979594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d87923a9db17c8898f046fbf1476e6d754de68edde9657a9f03290902c937c1

Aliases

arxiv: 2110.11271 · arxiv_version: 2110.11271v1 · doi: 10.48550/arxiv.2110.11271 · pith_short_12: PWDZEOU5WF6I · pith_short_16: PWDZEOU5WF6IRGHQ · pith_short_8: PWDZEOU5

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/PWDZEOU5WF6IRGHQI357CR3ONV \
  | 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: 7d87923a9db17c8898f046fbf1476e6d754de68edde9657a9f03290902c937c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f32ba56cbbd4193678c4b5b71e71d032dffeb72bd5a0467c99ee2afb1ded4f82",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-10-21T16:57:45Z",
    "title_canon_sha256": "d46d35fb46fef74b98a90b8232139ee563c84878e16c579dadf864ac3dee6ba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.11271",
    "kind": "arxiv",
    "version": 1
  }
}