Pith Number

pith:53LOPP3U

pith:2025:53LOPP3UXLBGYAJKJG4RU3TLUD

not attested not anchored not stored refs pending

Boundary Value Problems for the Magnetic Laplacian in Semiclassical Analysis

Zhongwei Shen

arxiv:2509.00292 v1 · 2025-08-30 · 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{53LOPP3UXLBGYAJKJG4RU3TLUD}

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	2026-07-05T12:02:12.973775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed6e7bf74bac26c012a49b91a6e6ba0c2f073a195100f7239776a4942248c3e

Aliases

arxiv: 2509.00292 · arxiv_version: 2509.00292v1 · doi: 10.48550/arxiv.2509.00292 · pith_short_12: 53LOPP3UXLBG · pith_short_16: 53LOPP3UXLBGYAJK · pith_short_8: 53LOPP3U

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/53LOPP3UXLBGYAJKJG4RU3TLUD \
  | 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: eed6e7bf74bac26c012a49b91a6e6ba0c2f073a195100f7239776a4942248c3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20b952700830add78505e0af9134b824ac46db8378aa1dea3c2fef8aaa6164a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-08-30T01:03:14Z",
    "title_canon_sha256": "9740d83fbdabb1a9c2fc51e7787156c75d3a578324da9bd2a2ce75587dd087e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00292",
    "kind": "arxiv",
    "version": 1
  }
}