Pith Number

pith:YOLO4GRO

pith:2024:YOLO4GRO37EWXQBB4SCMCBMI6Z

not attested not anchored not stored refs pending

Smoothing effect and quantum-classical correspondence for the Schr{\"o}dinger equation with confining potential

Antoine Prouff

arxiv:2412.01209 v1 · 2024-12-02 · 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{YOLO4GRO37EWXQBB4SCMCBMI6Z}

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	2026-07-05T09:42:56.028866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c396ee1a2edfc96bc021e484c10588f65ddb7017e7f8059a8c9595fbff7abcc7

Aliases

arxiv: 2412.01209 · arxiv_version: 2412.01209v1 · doi: 10.48550/arxiv.2412.01209 · pith_short_12: YOLO4GRO37EW · pith_short_16: YOLO4GRO37EWXQBB · pith_short_8: YOLO4GRO

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/YOLO4GRO37EWXQBB4SCMCBMI6Z \
  | 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: c396ee1a2edfc96bc021e484c10588f65ddb7017e7f8059a8c9595fbff7abcc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "784e7a1102861ac001fc229979592ee204cea5c3fd855b63b9c3dd6898f7369e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-02T07:25:23Z",
    "title_canon_sha256": "22c5f25e6fa36209117ec70335bf64a5b0faaee73f9f887f56aae09bb97e8364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01209",
    "kind": "arxiv",
    "version": 1
  }
}