Pith Number

pith:XXRYJLUE

pith:2012:XXRYJLUEROPQSAI6NXW7UFGC2A

not attested not anchored not stored refs pending

Viability of Noether symmetry of F(R) theory of gravity

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

arxiv:1207.3219 v2 · 2012-07-13 · 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{XXRYJLUEROPQSAI6NXW7UFGC2A}

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	2026-05-18T02:41:59.828306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bde384ae848b9f09011e6dedfa14c2d018d0c957800908eab81dcec9898d2510

Aliases

arxiv: 1207.3219 · arxiv_version: 1207.3219v2 · doi: 10.48550/arxiv.1207.3219 · pith_short_12: XXRYJLUEROPQ · pith_short_16: XXRYJLUEROPQSAI6 · pith_short_8: XXRYJLUE

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/XXRYJLUEROPQSAI6NXW7UFGC2A \
  | 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: bde384ae848b9f09011e6dedfa14c2d018d0c957800908eab81dcec9898d2510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c7bc6f250fa423c2060f5de80f9484da4fda72361b0d3918a71cd18ac94a2e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-07-13T12:31:24Z",
    "title_canon_sha256": "58b379b4ef8a9c855ad4572618ca39ec68f1ccd6d7db59fa9b116f9c8f0dd1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3219",
    "kind": "arxiv",
    "version": 2
  }
}