Pith Number

pith:XNROPHHU

pith:2026:XNROPHHU54YD5HZCSG2GN2MAP3

not attested not anchored not stored refs pending

A quantum harmonic analysis approach to nonlinear time-frequency concentration

Erling Svela, S. Ivan Trapasso

arxiv:2605.28786 v1 · 2026-05-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNROPHHU54YD5HZCSG2GN2MAP3}

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	2026-05-28T02:05:03.580743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb62e79cf4ef303e9f2291b466e9807ee69a33f24583433a2e5246d7145430e1

Aliases

arxiv: 2605.28786 · arxiv_version: 2605.28786v1 · doi: 10.48550/arxiv.2605.28786 · pith_short_12: XNROPHHU54YD · pith_short_16: XNROPHHU54YD5HZC · pith_short_8: XNROPHHU

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/XNROPHHU54YD5HZCSG2GN2MAP3 \
  | 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: bb62e79cf4ef303e9f2291b466e9807ee69a33f24583433a2e5246d7145430e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8054de52afbbd2d7909942c6e46daf172d00b6088bdd9aae8db1f02a9ae44d43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-27T17:46:28Z",
    "title_canon_sha256": "043a64d934f593ec50ac49bd9a5182dc6caa16d3f4f39a6a8ab9420fd4d31c34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28786",
    "kind": "arxiv",
    "version": 1
  }
}