Pith Number

pith:GTSZ3WKZ

pith:2026:GTSZ3WKZBRIC34UTHMG2VRN5HI

not attested not anchored not stored refs pending

Feature Learning for the High Dimensional Stationary Sch\"odinger Equation with Deep Ritz Method

Gilad Lerman, Yao Yao, Yulong Lu

arxiv:2607.06369 v1 · 2026-07-07 · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTSZ3WKZBRIC34UTHMG2VRN5HI}

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	2026-07-08T01:19:23.544095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e59dd9590c502df2933b0daac5bd3a287aea6577ef8abd82f48b72e653a31f

Aliases

arxiv: 2607.06369 · arxiv_version: 2607.06369v1 · doi: 10.48550/arxiv.2607.06369 · pith_short_12: GTSZ3WKZBRIC · pith_short_16: GTSZ3WKZBRIC34UT · pith_short_8: GTSZ3WKZ

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/GTSZ3WKZBRIC34UTHMG2VRN5HI \
  | 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: 34e59dd9590c502df2933b0daac5bd3a287aea6577ef8abd82f48b72e653a31f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f865d4543059b0497171493929e870ae2b5ede5c531b29591d412b7a4e23e2",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-07T15:06:30Z",
    "title_canon_sha256": "dc503460955b91819617f7522353ae6564c6a84e9e9e072baf63368217e4aeee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06369",
    "kind": "arxiv",
    "version": 1
  }
}