Pith Number

pith:W4CQCIQG

pith:2016:W4CQCIQG6I27BLIWPT67OAHHQ6

not attested not anchored not stored refs pending

Summation formula inequalities for eigenvalues of the perturbed harmonic oscillator

James B. Kennedy, Pedro Freitas

arxiv:1605.01928 v1 · 2016-05-06 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4CQCIQG6I27BLIWPT67OAHHQ6}

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	2026-05-18T01:15:30.924254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b705012206f235f0ad167cfdf700e787a529183025ac05709a103210e2f2814f

Aliases

arxiv: 1605.01928 · arxiv_version: 1605.01928v1 · doi: 10.48550/arxiv.1605.01928 · pith_short_12: W4CQCIQG6I27 · pith_short_16: W4CQCIQG6I27BLIW · pith_short_8: W4CQCIQG

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/W4CQCIQG6I27BLIWPT67OAHHQ6 \
  | 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: b705012206f235f0ad167cfdf700e787a529183025ac05709a103210e2f2814f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c9cff02a764fb97d6ab5e30ad133e9633b50008998fe959c9f0cbb7743d5946",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-05-06T13:06:52Z",
    "title_canon_sha256": "b5202152cf0eedc4c745a0acd9851c6566b36636463871e8819843374ccc1702"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01928",
    "kind": "arxiv",
    "version": 1
  }
}