Pith Number

pith:IYWWCSTA

pith:1993:IYWWCSTAFVMJ4XUXVEC3TKBBHE

not attested not anchored not stored refs pending

Polarization of the Microwave Background due to Primordial Gravitational Waves

Paul J. Steinhardt, Richard L. Davis, Robert Crittenden

arxiv:astro-ph/9306027 v1 · 1993-06-25 · astro-ph · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYWWCSTAFVMJ4XUXVEC3TKBBHE}

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	2026-07-04T15:55:06.873134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

462d614a602d589e5e97a905b9a8213908c1a4626eeef4cc41f581885c4f8be7

Aliases

arxiv: astro-ph/9306027 · arxiv_version: astro-ph/9306027v1 · doi: 10.48550/arxiv.astro-ph/9306027 · pith_short_12: IYWWCSTAFVMJ · pith_short_16: IYWWCSTAFVMJ4XUX · pith_short_8: IYWWCSTA

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/IYWWCSTAFVMJ4XUXVEC3TKBBHE \
  | 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: 462d614a602d589e5e97a905b9a8213908c1a4626eeef4cc41f581885c4f8be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68ff5610a81a432f11016915553dd5c692fd327cd3391133e4a70895766366b6",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-06-25T21:30:02Z",
    "title_canon_sha256": "ca5e5936406ced1e57fc50f6f6f3b81fe61a62340b4516e3ccfa9cb5663f870b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9306027",
    "kind": "arxiv",
    "version": 1
  }
}