Pith Number

pith:3UM2YJLA

pith:2012:3UM2YJLAXR7CO2W3QKB4MUDUKY

not attested not anchored not stored refs pending

Why Noether symmetry of F(R) theory yields three-half power law?

Abhik Kumar Sanyal, Kaushik Sarkar, Nayem Sk., Soumendranath Ruz, Subhra Debnath

arxiv:1201.2987 v2 · 2012-01-14 · 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{3UM2YJLAXR7CO2W3QKB4MUDUKY}

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	2026-05-18T03:33:37.974787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd19ac2560bc7e276adb8283c65074562ec8177dbceca7a7c551b9d35b04f45d

Aliases

arxiv: 1201.2987 · arxiv_version: 1201.2987v2 · doi: 10.48550/arxiv.1201.2987 · pith_short_12: 3UM2YJLAXR7C · pith_short_16: 3UM2YJLAXR7CO2W3 · pith_short_8: 3UM2YJLA

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/3UM2YJLAXR7CO2W3QKB4MUDUKY \
  | 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: dd19ac2560bc7e276adb8283c65074562ec8177dbceca7a7c551b9d35b04f45d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dffd1e5742bbff21d3fdfb4f3eb76a6ef28294870c23c57cc7efd85ecd7d4c03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-01-14T04:00:00Z",
    "title_canon_sha256": "da986c426d674d0903e08c214ce6a01a32cd6517e6ff0c98c40b0d08df7fa7f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2987",
    "kind": "arxiv",
    "version": 2
  }
}