Pith Number

pith:4HXAPRVF

pith:2026:4HXAPRVFVNCS6GXV5PABLYEUHA

not attested not anchored not stored refs pending

Amortized Energy-Based Bayesian Inference

Andrew M. Stuart, Hojjat Kaveh, Ricardo Baptista

arxiv:2605.15407 v2 · 2026-05-14 · math.NA · cs.AI · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HXAPRVFVNCS6GXV5PABLYEUHA}

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	2026-05-20T00:05:47.879395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ee07c6a5ab452f1af5ebc015e0943812f27e317ec51e53d47d57517c9fa5d3

Aliases

arxiv: 2605.15407 · arxiv_version: 2605.15407v2 · doi: 10.48550/arxiv.2605.15407 · pith_short_12: 4HXAPRVFVNCS · pith_short_16: 4HXAPRVFVNCS6GXV · pith_short_8: 4HXAPRVF

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/4HXAPRVFVNCS6GXV5PABLYEUHA \
  | 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: e1ee07c6a5ab452f1af5ebc015e0943812f27e317ec51e53d47d57517c9fa5d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aef7d5cad20fd7b34b2282db8171bf39244ed1280bdaa03e4aa7f48c94a9eba6",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-14T20:45:11Z",
    "title_canon_sha256": "663bc61a7e322c92caac894ec2f394ef16d072de2a012a117a50c621fbcad59d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15407",
    "kind": "arxiv",
    "version": 2
  }
}