Pith Number

pith:TIF35EHO

pith:2015:TIF35EHO27CWOEB4SX47QBRGTV

not attested not anchored not stored refs pending

Sandwiching the marginal likelihood using bidirectional Monte Carlo

Roger B. Grosse, Ryan P. Adams, Zoubin Ghahramani

arxiv:1511.02543 v1 · 2015-11-08 · stat.ML · cs.LG · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIF35EHO27CWOEB4SX47QBRGTV}

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.

Cited by

1 paper in Pith

Multimodal Continuous Reasoning via Asymmetric Mutual Variational Learning

Receipt and verification

First computed	2026-05-18T01:27:29.993037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a0bbe90eed7c567103c95f9f806269d5e8312cbd2e612d04e0b5ac9ea2b0549

Aliases

arxiv: 1511.02543 · arxiv_version: 1511.02543v1 · doi: 10.48550/arxiv.1511.02543 · pith_short_12: TIF35EHO27CW · pith_short_16: TIF35EHO27CWOEB4 · pith_short_8: TIF35EHO

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/TIF35EHO27CWOEB4SX47QBRGTV \
  | 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: 9a0bbe90eed7c567103c95f9f806269d5e8312cbd2e612d04e0b5ac9ea2b0549

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c59c90d9c0d5e42e7a1e0ae89f676d1b123d9dbcc9e8ce8d9b4cc890d20ec138",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2015-11-08T23:55:36Z",
    "title_canon_sha256": "1080eddc01a094ad7f98e891c8b7d46686e00785fa1db3be2071091f31d5b0a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02543",
    "kind": "arxiv",
    "version": 1
  }
}