Pith Number

pith:4RMF35E3

pith:2011:4RMF35E3PRRENK3SIYC5WH5SKD

not attested not anchored not stored refs pending

Noether Gauge Symmetry Approach in f(R) Gravity

F. M. Mahomed, Ibrar Hussain, Mubasher Jamil

arxiv:1107.5211 v1 · 2011-07-26 · physics.gen-ph · 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{4RMF35E3PRRENK3SIYC5WH5SKD}

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	2026-05-18T04:04:43.604953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4585df49b7c6246ab724605db1fb250d411242285ae07d894ea85968dfd9d23

Aliases

arxiv: 1107.5211 · arxiv_version: 1107.5211v1 · doi: 10.48550/arxiv.1107.5211 · pith_short_12: 4RMF35E3PRRE · pith_short_16: 4RMF35E3PRRENK3S · pith_short_8: 4RMF35E3

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/4RMF35E3PRRENK3SIYC5WH5SKD \
  | 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: e4585df49b7c6246ab724605db1fb250d411242285ae07d894ea85968dfd9d23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30b8ce7285c3b302de863754abc6ffcd910b4744a4200320da53a52e07ac1846",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-07-26T13:37:30Z",
    "title_canon_sha256": "a7386377c1441617e42a355e30a8a8b57887403898ad505043de333de1ef4ae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5211",
    "kind": "arxiv",
    "version": 1
  }
}