Pith Number

pith:C2PALQIM

pith:2011:C2PALQIMFJDUCOHAVLIFE2L3YT

not attested not anchored not stored refs pending

Testing Einstein Gravity with Cosmic Growth and Expansion

David J. Bacon, Eric V. Linder, Gong-Bo Zhao, Hong Li, Kazuya Koyama, Xinmin Zhang

arxiv:1109.1846 v3 · 2011-09-08 · astro-ph.CO · 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{C2PALQIMFJDUCOHAVLIFE2L3YT}

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	2026-05-18T03:48:34.134845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

169e05c10c2a474138e0aad052697bc4f6600f0484baec14c46826c3514e35e9

Aliases

arxiv: 1109.1846 · arxiv_version: 1109.1846v3 · doi: 10.48550/arxiv.1109.1846 · pith_short_12: C2PALQIMFJDU · pith_short_16: C2PALQIMFJDUCOHA · pith_short_8: C2PALQIM

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/C2PALQIMFJDUCOHAVLIFE2L3YT \
  | 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: 169e05c10c2a474138e0aad052697bc4f6600f0484baec14c46826c3514e35e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d2249516348a3e1b1ebf238f7f6c02ce0f53777a64a4c2447c69fc358cee324",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-08T21:02:09Z",
    "title_canon_sha256": "63c7b30410f9758a1da68fd0301bdce696a9edecd7e113130e46da3c421cca47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1846",
    "kind": "arxiv",
    "version": 3
  }
}