Pith Number

pith:V3W2NNN3

pith:2026:V3W2NNN3YE6TPCJKTMRVPSZKFL

not attested not anchored not stored refs pending

Optimal constants of smoothing estimates for quantum harmonic oscillators

Soichiro Suzuki

arxiv:2606.03076 v1 · 2026-06-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V3W2NNN3YE6TPCJKTMRVPSZKFL}

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	2026-06-03T01:05:30.974547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeeda6b5bbc13d37892a9b2357cb2a2adbbf296dd6d66fc8975fa908b784859d

Aliases

arxiv: 2606.03076 · arxiv_version: 2606.03076v1 · doi: 10.48550/arxiv.2606.03076 · pith_short_12: V3W2NNN3YE6T · pith_short_16: V3W2NNN3YE6TPCJK · pith_short_8: V3W2NNN3

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/V3W2NNN3YE6TPCJKTMRVPSZKFL \
  | 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: aeeda6b5bbc13d37892a9b2357cb2a2adbbf296dd6d66fc8975fa908b784859d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03df2cc8cfdb76abc1e178ac5836e4aa23b099042eb78ab10016f49ab454228a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-06-02T03:06:30Z",
    "title_canon_sha256": "9923c09f89714c7259a38e50fbdead4841ccbafe46a2e6828417592ed45585ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03076",
    "kind": "arxiv",
    "version": 1
  }
}