Pith Number

pith:ITNKW42J

pith:2026:ITNKW42JMB24XRIWYS25W57SSR

not attested not anchored not stored refs pending

Introduction to optimization methods for training SciML models

Alena Kopani\v{c}\'akov\'a, Elisa Riccietti

arxiv:2601.10222 v2 · 2026-01-15 · math.NA · cs.AI · cs.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{ITNKW42JMB24XRIWYS25W57SSR}

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.

Cited by

1 paper in Pith

Curvature-Aware Optimization for High-Accuracy Physics-Informed Neural Networks

Receipt and verification

First computed	2026-06-03T01:05:47.786196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44daab73496075cbc516c4b5db77f2945118b6940c3ef0025e3a4b3b5b773d20

Aliases

arxiv: 2601.10222 · arxiv_version: 2601.10222v2 · doi: 10.48550/arxiv.2601.10222 · pith_short_12: ITNKW42JMB24 · pith_short_16: ITNKW42JMB24XRIW · pith_short_8: ITNKW42J

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/ITNKW42JMB24XRIWYS25W57SSR \
  | 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: 44daab73496075cbc516c4b5db77f2945118b6940c3ef0025e3a4b3b5b773d20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d633a49e5be3940afef6230bc8b5c2898648148eff29c72fa2c26c1cedca9b93",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-01-15T09:36:15Z",
    "title_canon_sha256": "be21cec51bba1e8c98fdeeb72f5b160de3b890939c127451ec701f87111feb23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.10222",
    "kind": "arxiv",
    "version": 2
  }
}