Pith Number

pith:CDO4CPYS

pith:2026:CDO4CPYS6LVRBAYZYUE6KTQOJA

not attested not anchored not stored refs pending

Extended predictive coding framework as variational free-energy minimisation under exponential-family assumption

Asaki Kataoka, Kenji Doya

arxiv:2605.30882 v1 · 2026-05-29 · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDO4CPYS6LVRBAYZYUE6KTQOJA}

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	2026-06-01T01:03:23.044173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ddc13f12f2eb108319c509e54e0e480869a3a1628f01c0c3c728141aadb3a7

Aliases

arxiv: 2605.30882 · arxiv_version: 2605.30882v1 · doi: 10.48550/arxiv.2605.30882 · pith_short_12: CDO4CPYS6LVR · pith_short_16: CDO4CPYS6LVRBAYZ · pith_short_8: CDO4CPYS

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/CDO4CPYS6LVRBAYZYUE6KTQOJA \
  | 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: 10ddc13f12f2eb108319c509e54e0e480869a3a1628f01c0c3c728141aadb3a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "478dc76783d31e5e9a06b8d7d4e9cef811ef367b055e442b63651ddb5a87aca1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.NC",
    "submitted_at": "2026-05-29T06:12:55Z",
    "title_canon_sha256": "9dacbeea971b3b5ddb435c7bf29405f5c5674c19644672dad55e6132744f4efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30882",
    "kind": "arxiv",
    "version": 1
  }
}