Pith Number

pith:B53E5DRX

pith:2020:B53E5DRXJO2KDHV62S2WPZU3A6

not attested not anchored not stored refs pending

Inhomogeneous Perturbations and Stability Analysis of the Einstein Static Universe in f(R,T) Gravity

Arfa Waseem, M. Sharif

arxiv:2002.03845 v1 · 2020-02-07 · 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{B53E5DRXJO2KDHV62S2WPZU3A6}

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	2026-07-05T00:41:59.361112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f764e8e374bb4a19ebed4b567e69b07a837b1efc8cfcf169d674a8a8d4f0994

Aliases

arxiv: 2002.03845 · arxiv_version: 2002.03845v1 · doi: 10.48550/arxiv.2002.03845 · pith_short_12: B53E5DRXJO2K · pith_short_16: B53E5DRXJO2KDHV6 · pith_short_8: B53E5DRX

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/B53E5DRXJO2KDHV62S2WPZU3A6 \
  | 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: 0f764e8e374bb4a19ebed4b567e69b07a837b1efc8cfcf169d674a8a8d4f0994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7c3d0227cfc9dc5bde0e48fd8de88e79588ba9052dfcecb1ea89655acac9409",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-02-07T03:03:47Z",
    "title_canon_sha256": "bff6ab928f864bab887d2549f5084fc6b6bcb85d1f441c5396abaadd622cd171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.03845",
    "kind": "arxiv",
    "version": 1
  }
}