Pith Number

pith:BIY4PFQ2

pith:2022:BIY4PFQ2HELPUYWRZDJ5TG5XCV

not attested not anchored not stored refs pending

Thermodynamical aspects of Bianchi type-I Universe in quadratic form of $f\left( Q\right) $ gravity and observational constraints

M. Bennai, M. Govender, M. Koussour, S. H. Shekh

arxiv:2203.03639 v3 · 2022-03-07 · 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{BIY4PFQ2HELPUYWRZDJ5TG5XCV}

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	2026-07-05T05:57:30.279439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a31c7961a3916fa62d1c8d3d99bb715649330c08295e6bf67e2feff649abe2a

Aliases

arxiv: 2203.03639 · arxiv_version: 2203.03639v3 · doi: 10.48550/arxiv.2203.03639 · pith_short_12: BIY4PFQ2HELP · pith_short_16: BIY4PFQ2HELPUYWR · pith_short_8: BIY4PFQ2

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/BIY4PFQ2HELPUYWRZDJ5TG5XCV \
  | 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: 0a31c7961a3916fa62d1c8d3d99bb715649330c08295e6bf67e2feff649abe2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f49caef4eb6b2513113d7b2b17369d2e0843d0671748108e6bd144bea55b488",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-03-07T13:49:21Z",
    "title_canon_sha256": "b8eb233b5d7f3def25c133f8d7062c2138a53067099fef43324faa39133a671f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.03639",
    "kind": "arxiv",
    "version": 3
  }
}