Pith Number

pith:Z5P5Y7ZM

pith:2026:Z5P5Y7ZMPPG5Q3DQPRRMEC42FZ

not attested not anchored not stored refs pending

Embedding Linear Equality Constraints in Probabilistic Neural Networks for Dynamic Modelling

Antonio del Rio Chanona, Benoit Chachuat, Matthew Marsh

arxiv:2606.21728 v1 · 2026-06-19 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5P5Y7ZMPPG5Q3DQPRRMEC42FZ}

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	2026-06-23T01:13:20.879504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5fdc7f2c7bcdd86c707c62c20b9a2e625be388ca0a8b9d63d9e174e88324ab

Aliases

arxiv: 2606.21728 · arxiv_version: 2606.21728v1 · doi: 10.48550/arxiv.2606.21728 · pith_short_12: Z5P5Y7ZMPPG5 · pith_short_16: Z5P5Y7ZMPPG5Q3DQ · pith_short_8: Z5P5Y7ZM

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/Z5P5Y7ZMPPG5Q3DQPRRMEC42FZ \
  | 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: cf5fdc7f2c7bcdd86c707c62c20b9a2e625be388ca0a8b9d63d9e174e88324ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b01bca94e29b1812444e8164e06e1760d0388e2ec698e55ef7daa956fe9099b1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-19T20:31:04Z",
    "title_canon_sha256": "a39cb2c13133d1ff995593af9144fd13f092d23d8e660911024dcaf667c7558c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21728",
    "kind": "arxiv",
    "version": 1
  }
}