Pith Number

pith:R5GWV2EF

pith:2010:R5GWV2EFKUSNS3UJUZA4VHUVY6

not attested not anchored not stored refs pending

Free energy computations by minimization of Kullback-Leibler divergence: an efficient adaptive biasing potential method for sparse representations

I. Bilionis, P.S. Koutsourelakis

arxiv:1011.2416 v1 · 2010-11-10 · math-ph · math.MP · physics.comp-ph · 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{R5GWV2EFKUSNS3UJUZA4VHUVY6}

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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	2026-05-18T00:22:11.435681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f4d6ae8855524d96e89a641ca9e95c7aa01f617f1d6ef98879d2670a4d46f48

Aliases

arxiv: 1011.2416 · arxiv_version: 1011.2416v1 · doi: 10.48550/arxiv.1011.2416 · pith_short_12: R5GWV2EFKUSN · pith_short_16: R5GWV2EFKUSNS3UJ · pith_short_8: R5GWV2EF

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/R5GWV2EFKUSNS3UJUZA4VHUVY6 \
  | 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: 8f4d6ae8855524d96e89a641ca9e95c7aa01f617f1d6ef98879d2670a4d46f48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a661eb2702b5540e0fb96c45a168ed417fb67b20f610691ff4bf8bf95338882f",
    "cross_cats_sorted": [
      "math.MP",
      "physics.comp-ph",
      "stat.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-10T16:08:02Z",
    "title_canon_sha256": "da38ddd98b4c2c210e3e3b1ee4d6013d7418be2da59c1de2a9cef50bef0c17c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2416",
    "kind": "arxiv",
    "version": 1
  }
}