Pith Number

pith:ZYX3BE6M

pith:2025:ZYX3BE6MNO6455DIRKPSBSIJZD

not attested not anchored not stored refs pending

Hereditary completeness for systems of exponentials in weighted $L^2$-spaces

Andrei V. Semenov

arxiv:2503.18131 v3 · 2025-03-23 · math.CV · 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{ZYX3BE6MNO6455DIRKPSBSIJZD}

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	2026-07-07T02:17:06.477865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2fb093cc6bbdcef4688a9f20c909c8e5153b26afc81a32a97fa88233414997

Aliases

arxiv: 2503.18131 · arxiv_version: 2503.18131v3 · doi: 10.48550/arxiv.2503.18131 · pith_short_12: ZYX3BE6MNO64 · pith_short_16: ZYX3BE6MNO6455DI · pith_short_8: ZYX3BE6M

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/ZYX3BE6MNO6455DIRKPSBSIJZD \
  | 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: ce2fb093cc6bbdcef4688a9f20c909c8e5153b26afc81a32a97fa88233414997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c55a12af3e928f7f30df62e496549bd30063b21951ad61515cb7ab0b05a6990",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-03-23T16:23:36Z",
    "title_canon_sha256": "e2d2cf005a2cb9d7b1d1ff7aafc07fc9f234c7d0b0ed6056fee2153240a0d3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18131",
    "kind": "arxiv",
    "version": 3
  }
}