Pith Number

pith:MG6QF5ET

pith:2011:MG6QF5ET7IHY6Z6IVGZVXWZDLU

not attested not anchored not stored refs pending

Quantum Gravitational Contributions to the CMB Anisotropy Spectrum

Claus Kiefer, Manuel Kraemer

arxiv:1103.4967 v3 · 2011-03-25 · gr-qc · astro-ph.CO · 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{MG6QF5ET7IHY6Z6IVGZVXWZDLU}

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	2026-05-18T04:04:42.343501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61bd02f493fa0f8f67c8a9b35bdb235d369a6ac5ace12bb2f744d22e9eb1c510

Aliases

arxiv: 1103.4967 · arxiv_version: 1103.4967v3 · doi: 10.48550/arxiv.1103.4967 · pith_short_12: MG6QF5ET7IHY · pith_short_16: MG6QF5ET7IHY6Z6I · pith_short_8: MG6QF5ET

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/MG6QF5ET7IHY6Z6IVGZVXWZDLU \
  | 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: 61bd02f493fa0f8f67c8a9b35bdb235d369a6ac5ace12bb2f744d22e9eb1c510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a89776960b77b980f49ac8e1efa04a03abdeb1c5fc2c24defcc159573bd41c9e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-03-25T13:48:13Z",
    "title_canon_sha256": "9798e210f336128d66ed5ad7337e816c9c22434b036ef8fd8ad349d2e0fdfe53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4967",
    "kind": "arxiv",
    "version": 3
  }
}