Pith Number

pith:5QIYJ2FF

pith:2010:5QIYJ2FFJCRCGNNOCHBXACXDRJ

not attested not anchored not stored refs pending

Observing the Big Bounce with Tensor Modes in the Cosmic Microwave Background: Phenomenology and Fundamental LQC Parameters

A. Barrau, J. Grain, J. Mielczarek, T. Cailleteau

arxiv:1011.1811 v2 · 2010-11-08 · astro-ph.CO · gr-qc · hep-ph · 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{5QIYJ2FFJCRCGNNOCHBXACXDRJ}

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	2026-05-18T04:31:32.064394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec1184e8a548a22335ae11c3700ae38a6b0824bbd9d332abf8e51772cad40be2

Aliases

arxiv: 1011.1811 · arxiv_version: 1011.1811v2 · doi: 10.48550/arxiv.1011.1811 · pith_short_12: 5QIYJ2FFJCRC · pith_short_16: 5QIYJ2FFJCRCGNNO · pith_short_8: 5QIYJ2FF

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/5QIYJ2FFJCRCGNNOCHBXACXDRJ \
  | 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: ec1184e8a548a22335ae11c3700ae38a6b0824bbd9d332abf8e51772cad40be2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7cc55b50fa5d15de94e94a44fd58c631b339d66607ede23b0b2c9bf68d9b10b",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-11-08T14:36:09Z",
    "title_canon_sha256": "b26f284d3d89fafc481c14f6e2049c61a447ea2e702338544c27efef7d73990f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1811",
    "kind": "arxiv",
    "version": 2
  }
}