Pith Number

pith:5UK5LCU4

pith:2025:5UK5LCU4A7TMWUNGEWWJQCTRP7

not attested not anchored not stored refs pending

Learned iterative networks: An operator learning perspective

Andreas Hauptmann, Ozan \"Oktem

arxiv:2512.08444 v2 · 2025-12-09 · eess.IV · cs.LG · cs.NA · math.FA · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UK5LCU4A7TMWUNGEWWJQCTRP7}

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	2026-06-30T01:17:30.533203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed15d58a9c07e6cb51a625ac980a717fcf0ac1cece276feed48536f53426e328

Aliases

arxiv: 2512.08444 · arxiv_version: 2512.08444v2 · doi: 10.48550/arxiv.2512.08444 · pith_short_12: 5UK5LCU4A7TM · pith_short_16: 5UK5LCU4A7TMWUNG · pith_short_8: 5UK5LCU4

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/5UK5LCU4A7TMWUNGEWWJQCTRP7 \
  | 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: ed15d58a9c07e6cb51a625ac980a717fcf0ac1cece276feed48536f53426e328

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad9aaaa917fcbd6b6d3fb7f84732a708ff04acfa3bce9bb56114ed34517c072",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.FA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.IV",
    "submitted_at": "2025-12-09T10:18:51Z",
    "title_canon_sha256": "05edc154268c906d6802ffd3eaa16804e50a4ce14f5eb48830e7ac06d8057131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.08444",
    "kind": "arxiv",
    "version": 2
  }
}