Pith Number

pith:3ONLNMBO

pith:2011:3ONLNMBO5D2IRY2PET6JAMAW72

not attested not anchored not stored refs pending

The Hubble parameter in the early universe with viscous QCD matter and finite cosmological constant

A. Tawfik (Egyptian Ctr. Theor. Phys., Cairo)

arxiv:1102.2626 v2 · 2011-02-13 · gr-qc · hep-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{3ONLNMBO5D2IRY2PET6JAMAW72}

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	2026-05-18T03:57:27.362328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db9ab6b02ee8f488e34f24fc903016feb0827ca76c1dd2d2874a3f2578e72a56

Aliases

arxiv: 1102.2626 · arxiv_version: 1102.2626v2 · doi: 10.48550/arxiv.1102.2626 · pith_short_12: 3ONLNMBO5D2I · pith_short_16: 3ONLNMBO5D2IRY2P · pith_short_8: 3ONLNMBO

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/3ONLNMBO5D2IRY2PET6JAMAW72 \
  | 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: db9ab6b02ee8f488e34f24fc903016feb0827ca76c1dd2d2874a3f2578e72a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a959e7b7fd071069d48cfb3b44beb59eae629184f6f3ee9e618984ecdba2be83",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-02-13T19:25:31Z",
    "title_canon_sha256": "48d90982d02a3ee90cddfde7e704cc9056b29ffc98a4f9d5e17b51a3ad4839ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2626",
    "kind": "arxiv",
    "version": 2
  }
}