Pith Number

pith:6DL7XW6J

pith:2006:6DL7XW6JKC3E5JMT4FHPTDQKLH

not attested not anchored not stored refs pending

The Polarization of the Cosmic Microwave Background Due to Primordial Gravitational Waves

Alexander G. Polnarev, Brian G. Keating, Deepak Baskaran, Nathan J. Miller

arxiv:astro-ph/0607208 v1 · 2006-07-10 · 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{6DL7XW6JKC3E5JMT4FHPTDQKLH}

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	2026-07-04T16:59:06.065702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0d7fbdbc950b64ea593e14ef98e0a59f7e399da8cbd5ecdc2911882fa37679f

Aliases

arxiv: astro-ph/0607208 · arxiv_version: astro-ph/0607208v1 · doi: 10.48550/arxiv.astro-ph/0607208 · pith_short_12: 6DL7XW6JKC3E · pith_short_16: 6DL7XW6JKC3E5JMT · pith_short_8: 6DL7XW6J

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/6DL7XW6JKC3E5JMT4FHPTDQKLH \
  | 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: f0d7fbdbc950b64ea593e14ef98e0a59f7e399da8cbd5ecdc2911882fa37679f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ba02c2b97a8e7e1a053fe247180dc0d01fb7c304eefdb50ed1268af1b1781d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2006-07-10T22:45:52Z",
    "title_canon_sha256": "1a7af4fe3eff62dfe0c5ed7e3504d4a74f4dec44ae29593c4116fbd31017c850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0607208",
    "kind": "arxiv",
    "version": 1
  }
}