Pith Number

pith:SYHD4KBT

pith:2026:SYHD4KBTJMTP55XEIBFMWF4QDP

not attested not anchored not stored refs pending

Physics-guided correction for operator learning under model misspecification

Hao Wu, Lei Ma, Ling Guo, Nicolas Boull\'e, Yu-Sen Yang

arxiv:2606.03469 v1 · 2026-06-02 · math.NA · cs.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{SYHD4KBTJMTP55XEIBFMWF4QDP}

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	2026-06-03T01:05:58.719700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

960e3e28334b26fef6e4404acb17901bd8be6644485beb26d4563627dd1a5557

Aliases

arxiv: 2606.03469 · arxiv_version: 2606.03469v1 · doi: 10.48550/arxiv.2606.03469 · pith_short_12: SYHD4KBTJMTP · pith_short_16: SYHD4KBTJMTP55XE · pith_short_8: SYHD4KBT

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/SYHD4KBTJMTP55XEIBFMWF4QDP \
  | 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: 960e3e28334b26fef6e4404acb17901bd8be6644485beb26d4563627dd1a5557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f2941dbd70d24a8a2cf555944c76212fe32ae04711795e42ca6b13160a531f",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-02T10:46:40Z",
    "title_canon_sha256": "aef79694717fd3b598e8b65af3cc98ef5c8fbba4aed74b41f61a466156416efa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03469",
    "kind": "arxiv",
    "version": 1
  }
}