Pith Number

pith:TH7D7GWI

pith:2004:TH7D7GWICBVGYSGW5H7MKEAVTU

not attested not anchored not stored refs pending

Theory of Cosmic Microwave Background Polarization

Marc Kamionkowski, Paolo Cabella

arxiv:astro-ph/0403392 v2 · 2004-03-16 · 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{TH7D7GWICBVGYSGW5H7MKEAVTU}

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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

1 paper in Pith

Circular polarization of the cosmic microwave background induced by the optical Magnus effect on gravitational lensing

Receipt and verification

First computed	2026-07-04T14:13:23.480030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99fe3f9ac8106a6c48d6e9fec510159d23d3d6ba8f8c2219ffa864341922960e

Aliases

arxiv: astro-ph/0403392 · arxiv_version: astro-ph/0403392v2 · doi: 10.48550/arxiv.astro-ph/0403392 · pith_short_12: TH7D7GWICBVG · pith_short_16: TH7D7GWICBVGYSGW · pith_short_8: TH7D7GWI

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/TH7D7GWICBVGYSGW5H7MKEAVTU \
  | 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: 99fe3f9ac8106a6c48d6e9fec510159d23d3d6ba8f8c2219ffa864341922960e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c24d41571f138e099b726f6001ded4a45aa5606baea10d5e5288a2561211b6d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-03-16T21:58:30Z",
    "title_canon_sha256": "9ac488f858f37203dd00eee22f2fdaf51c74098d973fd6e15ef4f07e23c301db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0403392",
    "kind": "arxiv",
    "version": 2
  }
}