Pith Number

pith:ZKYHBPHT

pith:2022:ZKYHBPHTKPHSXNVLB5ZHIIPQQV

not attested not anchored not stored refs pending

Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited

Andr\'e Voros

arxiv:2206.14482 v3 · 2022-06-29 · math-ph · math.MP · math.SP · 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{ZKYHBPHTKPHSXNVLB5ZHIIPQQV}

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

Template masks for 4D-STEM

Receipt and verification

First computed	2026-07-05T06:05:27.795532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab070bcf353cf2bb6ab0f727421f0857b4c18e8210818dfe4008d9f7a658185

Aliases

arxiv: 2206.14482 · arxiv_version: 2206.14482v3 · doi: 10.48550/arxiv.2206.14482 · pith_short_12: ZKYHBPHTKPHS · pith_short_16: ZKYHBPHTKPHSXNVL · pith_short_8: ZKYHBPHT

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/ZKYHBPHTKPHSXNVLB5ZHIIPQQV \
  | 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: cab070bcf353cf2bb6ab0f727421f0857b4c18e8210818dfe4008d9f7a658185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a0cb7e07f8e0952ffeec1af8d32e332de8e59e54664980014a18344acb18c88",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-06-29T09:16:42Z",
    "title_canon_sha256": "1a63ab9c560c63ca6e7b3d3779156968c520abfbd770d9950ff5acd8db5d92bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.14482",
    "kind": "arxiv",
    "version": 3
  }
}