Pith Number

pith:K3IJDRUK

pith:2004:K3IJDRUK3QERX3NEVNTSN7DLEZ

not attested not anchored not stored refs pending

Polynomial Interpretation of Multipole Vectors

Gabriel Katz, Jeffrey Weeks

arxiv:astro-ph/0405631 v2 · 2004-05-31 · 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{K3IJDRUK3QERX3NEVNTSN7DLEZ}

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.

Cited by

1 paper in Pith

Fr\'echet Vectors as sensitive tools for blind tests of CMB anomalies

Receipt and verification

First computed	2026-07-04T16:43:52.692489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d091c68adc091beda4ab6726fc6b2642eb6057c20b78368fa86f7d48c8330f

Aliases

arxiv: astro-ph/0405631 · arxiv_version: astro-ph/0405631v2 · doi: 10.48550/arxiv.astro-ph/0405631 · pith_short_12: K3IJDRUK3QER · pith_short_16: K3IJDRUK3QERX3NE · pith_short_8: K3IJDRUK

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/K3IJDRUK3QERX3NEVNTSN7DLEZ \
  | 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: 56d091c68adc091beda4ab6726fc6b2642eb6057c20b78368fa86f7d48c8330f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46f624455c2fbdc1bd5b0ef9a8970a6da88eb13de133dc40f59e343a7cce25e0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-05-31T16:45:53Z",
    "title_canon_sha256": "94e1e0ffb936c5b709ae255ee97072868b97961ca3305da75c3b20cb2e53ddad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0405631",
    "kind": "arxiv",
    "version": 2
  }
}