Pith Number

pith:Y2I7I7FF

pith:2026:Y2I7I7FF7FKN5PAOCLDOTP7BNX

not attested not anchored not stored refs pending

Predictive Coding with Bayesian Priors via Proximal Gradients

Francesco Bullo

arxiv:2606.08374 v1 · 2026-06-06 · eess.SY · cs.LG · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2I7I7FF7FKN5PAOCLDOTP7BNX}

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	2026-06-09T01:05:34.984727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c691f47ca5f954debc0e12c6e9bfe16dd8456068867e457f8c8b54e522ec99af

Aliases

arxiv: 2606.08374 · arxiv_version: 2606.08374v1 · doi: 10.48550/arxiv.2606.08374 · pith_short_12: Y2I7I7FF7FKN · pith_short_16: Y2I7I7FF7FKN5PAO · pith_short_8: Y2I7I7FF

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/Y2I7I7FF7FKN5PAOCLDOTP7BNX \
  | 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: c691f47ca5f954debc0e12c6e9bfe16dd8456068867e457f8c8b54e522ec99af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13fa6e5d9aaac721489e319e7554eb52bab166e714147b8568aa1a1f3b498387",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-06-06T23:41:11Z",
    "title_canon_sha256": "5a2e5ac9d64db17adb5b1218e7cb3def8f3dc4bea7ad41b9dbd2e8ee09d233ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08374",
    "kind": "arxiv",
    "version": 1
  }
}