Pith Number

pith:VUTZTYAJ

pith:2024:VUTZTYAJAUFD25MRLEZ7VUE37M

not attested not anchored not stored refs pending

A general recursion for integrals involving products of Hermite polynomials and its applications

Le Minh Khang, Nguyen Duy Vy, Phan Quang Son, Tran Duong Anh-Tai, Vinh N.T. Pham

arxiv:2411.15541 v3 · 2024-11-23 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUTZTYAJAUFD25MRLEZ7VUE37M}

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

Efficient determination of eigenenergies and eigenstates of $N$ ($N=3$--$4$) identical 1D bosons and fermions under external harmonic confinement

Receipt and verification

First computed	2026-08-06T01:13:18.805296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad2799e009050a3d75915933fad09bfb13348b266239380a11a43402b03e3149

Aliases

arxiv: 2411.15541 · arxiv_version: 2411.15541v3 · doi: 10.48550/arxiv.2411.15541 · pith_short_12: VUTZTYAJAUFD · pith_short_16: VUTZTYAJAUFD25MR · pith_short_8: VUTZTYAJ

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/VUTZTYAJAUFD25MRLEZ7VUE37M \
  | 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: ad2799e009050a3d75915933fad09bfb13348b266239380a11a43402b03e3149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bba31fb17e0dbc88b8f57e60c80a313620ed0307f1f03aa12022269f9e0b1e3e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-11-23T12:30:16Z",
    "title_canon_sha256": "814ce5a2c3f40d24acc584034a777f4ec018c42bf49f1b392b799b88fb3f1346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15541",
    "kind": "arxiv",
    "version": 3
  }
}