Pith Number

pith:FQ5N3FGZ

pith:2026:FQ5N3FGZ4H2T3DEFTWZJE4ILQ5

not attested not anchored not stored refs pending

Hessian-augmented Supervised Learning for Hamilton-Jacobi-Bellman PDEs

Behzad Azmi, Dante Kalise, Karl Kunisch, Mat\'ias G\'omez-Aedo, Yuyang Huang

arxiv:2606.23827 v1 · 2026-06-22 · math.OC · cs.LG · cs.NA · math.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{FQ5N3FGZ4H2T3DEFTWZJE4ILQ5}

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	2026-06-24T00:14:28.020903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c3add94d9e1f53d8c859db292710b87541e84648260d6f36918d6aca6e27909

Aliases

arxiv: 2606.23827 · arxiv_version: 2606.23827v1 · doi: 10.48550/arxiv.2606.23827 · pith_short_12: FQ5N3FGZ4H2T · pith_short_16: FQ5N3FGZ4H2T3DEF · pith_short_8: FQ5N3FGZ

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/FQ5N3FGZ4H2T3DEFTWZJE4ILQ5 \
  | 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: 2c3add94d9e1f53d8c859db292710b87541e84648260d6f36918d6aca6e27909

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66616578a93d0352cba2db5d086460677e532eff711d860fef1f43e79ebf6a4d",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-22T18:11:14Z",
    "title_canon_sha256": "512df9e81bc64bbd0f81bd3dd6317dd4e50e38a0bebe48785c69e962ff29ba51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23827",
    "kind": "arxiv",
    "version": 1
  }
}