Pith Number

pith:36B7PNRB

pith:2011:36B7PNRBY746X55IC7XMVBYFHO

not attested not anchored not stored refs pending

de Sitter Gauge Theory of Gravity: An Alternative Torsion Cosmology

Xi-Chen Ao, Xin-zhou Li

arxiv:1111.1801 v1 · 2011-11-08 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36B7PNRBY746X55IC7XMVBYFHO}

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	2026-05-18T04:09:24.712758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df83f7b621c7f9ebf7a817eeca87053bb4a539fd6bd3674b0f087dcb59e2a01b

Aliases

arxiv: 1111.1801 · arxiv_version: 1111.1801v1 · doi: 10.48550/arxiv.1111.1801 · pith_short_12: 36B7PNRBY746 · pith_short_16: 36B7PNRBY746X55I · pith_short_8: 36B7PNRB

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/36B7PNRBY746X55IC7XMVBYFHO \
  | 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: df83f7b621c7f9ebf7a817eeca87053bb4a539fd6bd3674b0f087dcb59e2a01b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c88a2dcfe4904c1b7136bf8ab0e1454ebaca3091a73ae269b971fcd12f2b1d6",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-08T04:43:34Z",
    "title_canon_sha256": "8cc259c79353d4e5ba42b140a79aa6152f66bc79d2e4a27ac407881d12b7aba0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1801",
    "kind": "arxiv",
    "version": 1
  }
}