Pith Number

pith:ALR5VTFP

pith:2016:ALR5VTFPMCH5BA7FNGBBHPR4DR

not attested not anchored not stored refs pending

How to calculate partition functions using convex programming hierarchies: provable bounds for variational methods

Andrej Risteski

arxiv:1607.03183 v1 · 2016-07-11 · cs.LG · cs.DS · 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{ALR5VTFPMCH5BA7FNGBBHPR4DR}

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	2026-05-18T01:11:09.616066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02e3daccaf608fd083e5698213be3c1c7b126b41f7d7c4ea8dee466abffd2c31

Aliases

arxiv: 1607.03183 · arxiv_version: 1607.03183v1 · doi: 10.48550/arxiv.1607.03183 · pith_short_12: ALR5VTFPMCH5 · pith_short_16: ALR5VTFPMCH5BA7F · pith_short_8: ALR5VTFP

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/ALR5VTFPMCH5BA7FNGBBHPR4DR \
  | 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: 02e3daccaf608fd083e5698213be3c1c7b126b41f7d7c4ea8dee466abffd2c31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001730956eb22fbd11e4698cec0f1d2d722cef56e9ed9d093e85fb809792ea87",
    "cross_cats_sorted": [
      "cs.DS",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-07-11T22:10:04Z",
    "title_canon_sha256": "8072720407490fddd65b6c34a431188a6feb8e808ecf136e1a54dc21c8c6474e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03183",
    "kind": "arxiv",
    "version": 1
  }
}