Pith Number

pith:YMOVMG2T

pith:2012:YMOVMG2TA6LQLZMFRXJ7NWIJII

not attested not anchored not stored refs pending

Testing modified gravity models with recent cosmological observations

Cheng cheng, Miao Li, Qing-Guo Huang, Shuang Wang, Song Li, Wen-Shuai Zhang, Xiao-Dong Li

arxiv:1202.0892 v2 · 2012-02-04 · astro-ph.CO · 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{YMOVMG2TA6LQLZMFRXJ7NWIJII}

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	2026-05-18T03:31:30.873304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c31d561b53079705e5858dd3f6d9094217299ed43234a8daa634ac8cfab09798

Aliases

arxiv: 1202.0892 · arxiv_version: 1202.0892v2 · doi: 10.48550/arxiv.1202.0892 · pith_short_12: YMOVMG2TA6LQ · pith_short_16: YMOVMG2TA6LQLZMF · pith_short_8: YMOVMG2T

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/YMOVMG2TA6LQLZMFRXJ7NWIJII \
  | 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: c31d561b53079705e5858dd3f6d9094217299ed43234a8daa634ac8cfab09798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5eac938da85c06aac113b087dcb8f49b9a971ec19cfd3fca9926a63e515746a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-02-04T12:36:38Z",
    "title_canon_sha256": "b3c0a978773ae59754e8ace83a217082bfb883169cf7ecc2d14e9d3cbd1f2656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0892",
    "kind": "arxiv",
    "version": 2
  }
}