Pith Number

pith:WIXNUXHX

pith:2021:WIXNUXHX7WPYTPYSR6GGDO2265

not attested not anchored not stored refs pending

Stability of the Closed Einstein Universe in Energy-Momentum Squared Gravity

M. Sharif, M. Zeeshan Gul

arxiv:2108.08682 v1 · 2021-08-10 · 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{WIXNUXHX7WPYTPYSR6GGDO2265}

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	2026-07-05T03:08:38.849957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b22eda5cf7fd9f89bf128f8c61bb5af767b14025f175b95768a5f5b4f05773c9

Aliases

arxiv: 2108.08682 · arxiv_version: 2108.08682v1 · doi: 10.48550/arxiv.2108.08682 · pith_short_12: WIXNUXHX7WPY · pith_short_16: WIXNUXHX7WPYTPYS · pith_short_8: WIXNUXHX

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/WIXNUXHX7WPYTPYSR6GGDO2265 \
  | 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: b22eda5cf7fd9f89bf128f8c61bb5af767b14025f175b95768a5f5b4f05773c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d05716b7fe38e83d128c61fffa31a76ef977630a29ebdb4d2ffc7a2fa6d76ca8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-08-10T09:11:58Z",
    "title_canon_sha256": "5edf7518f2d16759376621169cd35b77e8e9e32bafb1beb81bf73d8d8b798b5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.08682",
    "kind": "arxiv",
    "version": 1
  }
}