Pith Number

pith:INWR7YQ5

pith:2026:INWR7YQ56OW4IMKA4BAQGZC5YV

not attested not anchored not stored refs pending

Optimal and exact wide-angle power spectrum estimation

Alex Lagu\"e, Kendrick Smith, Noah Sailer, Selim Hotinli, Yurii Kvasiuk

arxiv:2607.05513 v1 · 2026-07-06 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INWR7YQ56OW4IMKA4BAQGZC5YV}

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	2026-07-08T01:18:35.869086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

436d1fe21df3adc43140e04103645dc55080bdaff9fe282e4c4028ef13747c2b

Aliases

arxiv: 2607.05513 · arxiv_version: 2607.05513v1 · doi: 10.48550/arxiv.2607.05513 · pith_short_12: INWR7YQ56OW4 · pith_short_16: INWR7YQ56OW4IMKA · pith_short_8: INWR7YQ5

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/INWR7YQ56OW4IMKA4BAQGZC5YV \
  | 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: 436d1fe21df3adc43140e04103645dc55080bdaff9fe282e4c4028ef13747c2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b0a2f20d7f112f98b93893373289eb052e6ab4473f2845828162e67d59f4b83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-06T18:00:07Z",
    "title_canon_sha256": "e0a8e9c5e5b83c2eb5fa38cc6803568515b048202578b9d9ac172a937f9bcdf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05513",
    "kind": "arxiv",
    "version": 1
  }
}