Pith Number

pith:B5CZJFH4

pith:2024:B5CZJFH4RRLSLBUDBH3XR7QMMJ

not attested not anchored not stored refs pending

A certified classification of first-order controlled coaxial telescopes

Audric Drogoul

arxiv:2412.11546 v2 · 2024-12-16 · astro-ph.IM · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5CZJFH4RRLSLBUDBH3XR7QMMJ}

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	2026-07-05T10:04:20.965252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f459494fc8c5725868309f778fe0c6246d934d8d2c3804d0d97853ab6efd217

Aliases

arxiv: 2412.11546 · arxiv_version: 2412.11546v2 · doi: 10.48550/arxiv.2412.11546 · pith_short_12: B5CZJFH4RRLS · pith_short_16: B5CZJFH4RRLSLBUD · pith_short_8: B5CZJFH4

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/B5CZJFH4RRLSLBUDBH3XR7QMMJ \
  | 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: 0f459494fc8c5725868309f778fe0c6246d934d8d2c3804d0d97853ab6efd217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ef11c78a6e0e8a37bd3c2b17c083723d6af009fdcb34fb6272162d1548015a5",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2024-12-16T08:27:18Z",
    "title_canon_sha256": "0a9145a8def18abbbd582730b67d7199acbc9b37a0fe7db44c837757c61c3a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11546",
    "kind": "arxiv",
    "version": 2
  }
}