Pith Number

pith:4TDYYV4L

pith:2016:4TDYYV4L4NDHYBF2O5KBC6F26Q

not attested not anchored not stored refs pending

Expectation Propagation performs a smoothed gradient descent

Guillaume P. Dehaene

arxiv:1612.05053 v1 · 2016-12-15 · stat.ML · 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{4TDYYV4L4NDHYBF2O5KBC6F26Q}

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	2026-05-18T00:54:53.538552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c78c578be3467c04ba77541178baf4035fd1d430c15a4f413c60e31473588b

Aliases

arxiv: 1612.05053 · arxiv_version: 1612.05053v1 · doi: 10.48550/arxiv.1612.05053 · pith_short_12: 4TDYYV4L4NDH · pith_short_16: 4TDYYV4L4NDHYBF2 · pith_short_8: 4TDYYV4L

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/4TDYYV4L4NDHYBF2O5KBC6F26Q \
  | 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: e4c78c578be3467c04ba77541178baf4035fd1d430c15a4f413c60e31473588b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f0a5d6e5aeff638d3b6021b494585f86bace899f399ab7e05bb49be0bb20829",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-12-15T13:16:46Z",
    "title_canon_sha256": "bb08b1d1a1439a41894b6dcdb4f639cb60cf8ef2383fa96305828c866be08e64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05053",
    "kind": "arxiv",
    "version": 1
  }
}