Pith Number

pith:MDCGWTPF

pith:2025:MDCGWTPFF7XMBN745WCYXMLBUB

not attested not anchored not stored refs pending

Barron regularity of many particle Schr\"odinger eigenfunctions

Hao Yu, Pingbing Ming

arxiv:2508.17722 v1 · 2025-08-25 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDCGWTPFF7XMBN745WCYXMLBUB}

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

Cut-off Jastrow Factors and Spectral Barron Regularity of Coulombic Electronic Wave Functions

Receipt and verification

First computed	2026-07-05T11:58:46.413240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60c46b4de52feec0b7fced858bb161a06fcd97ed6e9f109dfc1953a27268ab08

Aliases

arxiv: 2508.17722 · arxiv_version: 2508.17722v1 · doi: 10.48550/arxiv.2508.17722 · pith_short_12: MDCGWTPFF7XM · pith_short_16: MDCGWTPFF7XMBN74 · pith_short_8: MDCGWTPF

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/MDCGWTPFF7XMBN745WCYXMLBUB \
  | 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: 60c46b4de52feec0b7fced858bb161a06fcd97ed6e9f109dfc1953a27268ab08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b833bf02fa142d59e492cda47153c73104f566840e79306a8a87a43f54ff7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-25T07:02:10Z",
    "title_canon_sha256": "5a7f1b5456206f6f39086719ddd70216fd59b848aae2f0824eddf51bc250286d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.17722",
    "kind": "arxiv",
    "version": 1
  }
}