Pith Number

pith:CRDEOBXC

pith:2010:CRDEOBXCZZCAXPEMFJQZEG2G4K

not attested not anchored not stored refs pending

Bulk Scale Factor at Very Early Universe

E. Yusofi, M. Mohsenzadeh

arxiv:1006.4920 v4 · 2010-06-25 · 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{CRDEOBXCZZCAXPEMFJQZEG2G4K}

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	2026-05-18T04:23:46.349651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14464706e2ce440bbc8c2a61921b46e291a999c172c6e2f9c7c6b35433f9ec74

Aliases

arxiv: 1006.4920 · arxiv_version: 1006.4920v4 · doi: 10.48550/arxiv.1006.4920 · pith_short_12: CRDEOBXCZZCA · pith_short_16: CRDEOBXCZZCAXPEM · pith_short_8: CRDEOBXC

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/CRDEOBXCZZCAXPEMFJQZEG2G4K \
  | 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: 14464706e2ce440bbc8c2a61921b46e291a999c172c6e2f9c7c6b35433f9ec74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36b0521586fc022d3d271928e11ce7be95cef49d794457bd9ab37feab41c2be4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-25T07:40:23Z",
    "title_canon_sha256": "4cd35b164ec85ecd395538c9ab12125abc16df1618a5942fb08eeab6308db891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4920",
    "kind": "arxiv",
    "version": 4
  }
}