Pith Number

pith:O5G3HAD3

pith:2025:O5G3HAD3KHF4PIFHAKP6EHYUDL

not attested not anchored not stored refs pending

On Strong Markushevich bases $\{t^{\lambda_n}\}_{n=1}^{\infty}$ in their closed span in $L^2 (0, 1)$ and characterizing a subspace of $H^2 (\mathbb{D})$

Elias Zikkos

arxiv:2505.24761 v1 · 2025-05-30 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5G3HAD3KHF4PIFHAKP6EHYUDL}

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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	2026-07-05T11:12:56.192203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

774db3807b51cbc7a0a7029fe21f141ace9e8fabd64c87c98092cfcae83e560f

Aliases

arxiv: 2505.24761 · arxiv_version: 2505.24761v1 · doi: 10.48550/arxiv.2505.24761 · pith_short_12: O5G3HAD3KHF4 · pith_short_16: O5G3HAD3KHF4PIFH · pith_short_8: O5G3HAD3

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/O5G3HAD3KHF4PIFHAKP6EHYUDL \
  | 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: 774db3807b51cbc7a0a7029fe21f141ace9e8fabd64c87c98092cfcae83e560f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c7d0cc4edb1776713e069281bd6b1b601d263749866c73f710f51989a04aa39",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-05-30T16:20:25Z",
    "title_canon_sha256": "6ff6e8720a1574d9cfb941d7a8626651c6e2e475a53f9e9a57c20644695b5ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24761",
    "kind": "arxiv",
    "version": 1
  }
}