Pith Number

pith:5RRX4GFH

pith:2026:5RRX4GFHDOBKUO524T6PSQKYBI

not attested not anchored not stored refs pending

An Optimisation Framework for the Well-Conditioned Training of Physics-Informed Neural Networks

Coralia Cartis, Joseph Webb, Sadok Jerad

arxiv:2607.02194 v1 · 2026-07-02 · cs.LG · cs.NA · math.NA · math.OC · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RRX4GFHDOBKUO524T6PSQKYBI}

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	2026-07-03T01:17:44.662424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec637e18a71b82aa3bbae4fcf941580a21365b1706ebb8dc3ff6beb9046b76c6

Aliases

arxiv: 2607.02194 · arxiv_version: 2607.02194v1 · doi: 10.48550/arxiv.2607.02194 · pith_short_12: 5RRX4GFHDOBK · pith_short_16: 5RRX4GFHDOBKUO52 · pith_short_8: 5RRX4GFH

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/5RRX4GFHDOBKUO524T6PSQKYBI \
  | 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: ec637e18a71b82aa3bbae4fcf941580a21365b1706ebb8dc3ff6beb9046b76c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d8519f22700ebde3e28b0d1aea5692189bf9a6c7683b87b283b586b4ac22a4",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-02T14:03:34Z",
    "title_canon_sha256": "2cd9acd7917c8e29d92078f3a3b6429987a4df58e5c47761b1e9bd9e0a943a2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02194",
    "kind": "arxiv",
    "version": 1
  }
}