Pith Number

pith:ULZ3ZQ4T

pith:2003:ULZ3ZQ4T7IXFXJM2GIGHPBDX4Z

not attested not anchored not stored refs pending

Multipole Vectors--a new representation of the CMB sky and evidence for statistical anisotropy or non-Gaussianity at 2<=l<=8

C.J. Copi, D. Huterer, G.D. Starkman

arxiv:astro-ph/0310511 v2 · 2003-10-17 · 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{ULZ3ZQ4T7IXFXJM2GIGHPBDX4Z}

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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.

Cited by

2 papers in Pith

Multipolar structure of the local expansion rate from incomplete sky data

Forecasts of CMB $E$-mode anomalies for AliCPT-1

Receipt and verification

First computed	2026-07-04T15:17:22.629496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f3bcc393fa2e5ba59a320c778477e65ac76221f453ed930e7eb62ccfacbdca

Aliases

arxiv: astro-ph/0310511 · arxiv_version: astro-ph/0310511v2 · doi: 10.48550/arxiv.astro-ph/0310511 · pith_short_12: ULZ3ZQ4T7IXF · pith_short_16: ULZ3ZQ4T7IXFXJM2 · pith_short_8: ULZ3ZQ4T

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/ULZ3ZQ4T7IXFXJM2GIGHPBDX4Z \
  | 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: a2f3bcc393fa2e5ba59a320c778477e65ac76221f453ed930e7eb62ccfacbdca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aee55a157206a56af9a1a90f37a9103fa8d608fc05534ea9067dd8f2f206cc48",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-10-17T20:00:04Z",
    "title_canon_sha256": "cc047750706cf3876ccae671de05abd034c57ff8be097f9a1e23b286fe7ba28e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0310511",
    "kind": "arxiv",
    "version": 2
  }
}