Pith Number

pith:RYXW7ALK

pith:2004:RYXW7ALKRSMDGDBNXYD2JYMUVT

not attested not anchored not stored refs pending

The Cosmic Microwave Background Bipolar Power Spectrum: Basic Formalism and Applications

Amir Hajian, Tarun Souradeep

arxiv:astro-ph/0501001 v1 · 2004-12-31 · 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{RYXW7ALKRSMDGDBNXYD2JYMUVT}

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

Capturing statistical isotropy violation with rotational averages

Receipt and verification

First computed	2026-07-04T14:14:01.213792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e2f6f816a8c98330c2dbe07a4e194acf03be7242aaa3dff2c5fc055608eab98

Aliases

arxiv: astro-ph/0501001 · arxiv_version: astro-ph/0501001v1 · doi: 10.48550/arxiv.astro-ph/0501001 · pith_short_12: RYXW7ALKRSMD · pith_short_16: RYXW7ALKRSMDGDBN · pith_short_8: RYXW7ALK

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/RYXW7ALKRSMDGDBNXYD2JYMUVT \
  | 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: 8e2f6f816a8c98330c2dbe07a4e194acf03be7242aaa3dff2c5fc055608eab98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b39273b9adb8712610bd5c3866b0100b13c027759aec0e501702b8cd8dc3cd8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-12-31T21:09:22Z",
    "title_canon_sha256": "ab8dd437296e345aa31cc3f32ff650aa5511143b02eedcfb465b76a005e84788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0501001",
    "kind": "arxiv",
    "version": 1
  }
}