Pith Number

pith:WZADYL57

pith:2026:WZADYL57KKFPKURLJPLMYQN5W2

not attested not anchored not stored refs pending

New generalization of the Barboza-Alcaniz parametrization of Dark energy

Shahab Shahidi

arxiv:2607.21064 v1 · 2026-07-23 · 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{WZADYL57KKFPKURLJPLMYQN5W2}

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	2026-07-24T01:23:49.900647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6403c2fbf528af5522b4bd6cc41bdb688af737e068c41a3591002888e7fef94

Aliases

arxiv: 2607.21064 · arxiv_version: 2607.21064v1 · doi: 10.48550/arxiv.2607.21064 · pith_short_12: WZADYL57KKFP · pith_short_16: WZADYL57KKFPKURL · pith_short_8: WZADYL57

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/WZADYL57KKFPKURLJPLMYQN5W2 \
  | 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: b6403c2fbf528af5522b4bd6cc41bdb688af737e068c41a3591002888e7fef94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aea3e89c632585bbf11b620340be9cb85b134aaa27e502db03e631912dce6f06",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-23T08:58:11Z",
    "title_canon_sha256": "f5b98962467f36476682031581c0104ca5c3c5e84563c6281c0be9bd9e4cd822"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21064",
    "kind": "arxiv",
    "version": 1
  }
}