Pith Number

pith:LITMRDNH

pith:1997:LITMRDNHCJN5QWFSQM2MQHZH5C

not attested not anchored not stored refs pending

Fast Spherical Harmonic Analysis: a quick algorithm for generating and/or inverting full sky, high resolution CMB Anisotropy maps

Nicola Vittorio, Paolo Natoli, Pio Francesco Muciaccia

arxiv:astro-ph/9703084 v1 · 1997-03-12 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LITMRDNHCJN5QWFSQM2MQHZH5C}

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	2026-05-18T02:40:35.212749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a26c88da7125bd858b28334c81f27e89fd25ac26e562bd0dcf631f9487dc15c

Aliases

arxiv: astro-ph/9703084 · arxiv_version: astro-ph/9703084v1 · doi: 10.48550/arxiv.astro-ph/9703084 · pith_short_12: LITMRDNHCJN5 · pith_short_16: LITMRDNHCJN5QWFS · pith_short_8: LITMRDNH

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/LITMRDNHCJN5QWFSQM2MQHZH5C \
  | 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: 5a26c88da7125bd858b28334c81f27e89fd25ac26e562bd0dcf631f9487dc15c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b816918928d37c10607cc93d9427e2ff354e4cf5c0e9a317f590e16304128813",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-03-12T20:22:15Z",
    "title_canon_sha256": "95f0848944bd6f943048ad7860ff0d5394d554be908a6a4a433c4aaf11a893fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9703084",
    "kind": "arxiv",
    "version": 1
  }
}