Pith Number

pith:5POTVAEU

pith:2026:5POTVAEUWI5VUKVJTN5GVYGN7J

not attested not anchored not stored refs pending

King Function for Shifted Gaussian: Laguerre Structure, Spectral Theory and Density

Yanpeng Wang, Zhe Gao

arxiv:2606.12455 v1 · 2026-06-05 · math-ph · math.MP · math.SP · physics.plasm-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{5POTVAEUWI5VUKVJTN5GVYGN7J}

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	2026-06-12T00:07:51.168822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebdd3a8094b23b5a2aa99b7a6ae0cdfa5e99a77a83a5789af6ebb81628687fff

Aliases

arxiv: 2606.12455 · arxiv_version: 2606.12455v1 · doi: 10.48550/arxiv.2606.12455 · pith_short_12: 5POTVAEUWI5V · pith_short_16: 5POTVAEUWI5VUKVJ · pith_short_8: 5POTVAEU

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/5POTVAEUWI5VUKVJTN5GVYGN7J \
  | 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: ebdd3a8094b23b5a2aa99b7a6ae0cdfa5e99a77a83a5789af6ebb81628687fff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c24ad4da796c06be35f6f4345cec017ffe0e5f7265577127a360b821fff075",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "physics.plasm-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-05T18:00:09Z",
    "title_canon_sha256": "7f170fe4958b1ff8f3aa3ba23581cbf5fe21d6ee31f5af5029cfbddde243d46e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12455",
    "kind": "arxiv",
    "version": 1
  }
}