Pith Number

pith:7Q5DSLF5

pith:2021:7Q5DSLF5RXHCZ2P7XVIYTPNN4I

not attested not anchored not stored refs pending

On the Properties of the Anisotropic Multivariate Hermite-Gauss Functions

Ling-Qi Yan, \"Omer E\u{g}ecio\u{g}lu, Shlomi Steinberg

arxiv:2107.13188 v1 · 2021-07-28 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Q5DSLF5RXHCZ2P7XVIYTPNN4I}

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	2026-07-05T03:01:27.545610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3a392cbd8dce2ce9ffbd5189bdade222376d764b108f3471cba8b3b2c04c2b

Aliases

arxiv: 2107.13188 · arxiv_version: 2107.13188v1 · doi: 10.48550/arxiv.2107.13188 · pith_short_12: 7Q5DSLF5RXHC · pith_short_16: 7Q5DSLF5RXHCZ2P7 · pith_short_8: 7Q5DSLF5

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/7Q5DSLF5RXHCZ2P7XVIYTPNN4I \
  | 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: fc3a392cbd8dce2ce9ffbd5189bdade222376d764b108f3471cba8b3b2c04c2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7f04bc506538ff082d297be8e62234519650e16f5a4633d5a65441d93179ef1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-07-28T06:39:21Z",
    "title_canon_sha256": "f480e292e5fdb98110261b59a5167c1a13a86dda0624b0b6278fc1f6f9c81c2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.13188",
    "kind": "arxiv",
    "version": 1
  }
}