Pith Number

pith:Y34ZTU6T

pith:2021:Y34ZTU6TELEBX3B5GUX4FZ43V7

not attested not anchored not stored refs pending

The imprint of primordial gravitational waves on the CMB intensity profile

Ali Kaya

arxiv:2105.02236 v1 · 2021-05-05 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y34ZTU6TELEBX3B5GUX4FZ43V7}

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

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect

Receipt and verification

First computed	2026-07-05T02:44:58.703168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6f999d3d322c81bec3d352fc2e79baff6817f9c3af709d61b3cca93b9fc78f1

Aliases

arxiv: 2105.02236 · arxiv_version: 2105.02236v1 · doi: 10.48550/arxiv.2105.02236 · pith_short_12: Y34ZTU6TELEB · pith_short_16: Y34ZTU6TELEBX3B5 · pith_short_8: Y34ZTU6T

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/Y34ZTU6TELEBX3B5GUX4FZ43V7 \
  | 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: c6f999d3d322c81bec3d352fc2e79baff6817f9c3af709d61b3cca93b9fc78f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac3e4481a6a697362b1ff061217c346020547035a8704c10eeaba76c6cdb5eb",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-05-05T18:00:01Z",
    "title_canon_sha256": "9ec9ed3cbfe7256f48a6690eb9d96267f8e2b64e8e7a34b1a3c72a311c2688e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.02236",
    "kind": "arxiv",
    "version": 1
  }
}