Pith Number

pith:PRYIJS4D

pith:2021:PRYIJS4DGF2IWTLYQZKU64EA76

not attested not anchored not stored refs pending

Constraints on interacting dark energy models from time-delay cosmography with seven lensed quasars

Dong-Ze He, Jie-Hao Zhang, Jing-Fei Zhang, Ling-Feng Wang, Xin Zhang

arxiv:2102.09331 v4 · 2021-02-18 · astro-ph.CO · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRYIJS4DGF2IWTLYQZKU64EA76}

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.

Cited by

5 papers in Pith

Neutrino mass constraints in interacting dark energy models after DESI DR2

Model-independent H0 from GWTC-4 standard sirens and TDCOSMO 2025 strong lensing time delays

HIcosmo: a differentiable JAX-based framework for cosmology inference

Unifying Early and Late Dark Energy: Dynamical Requirements and Obstructions

Contrastive self-supervised convolutional autoencoder for core-collapse supernova gravitational-wave detection

Receipt and verification

First computed	2026-07-05T04:34:01.927617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c7084cb8331748b4d7886554f7080ffb30c56f00f1aaaa07dcd11d5380fa75b

Aliases

arxiv: 2102.09331 · arxiv_version: 2102.09331v4 · doi: 10.48550/arxiv.2102.09331 · pith_short_12: PRYIJS4DGF2I · pith_short_16: PRYIJS4DGF2IWTLY · pith_short_8: PRYIJS4D

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/PRYIJS4DGF2IWTLYQZKU64EA76 \
  | 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: 7c7084cb8331748b4d7886554f7080ffb30c56f00f1aaaa07dcd11d5380fa75b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69973d7b6b1af2af815cbcbfa0be138090e4e6d36b3428ac5baa9640512788d9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-02-18T13:41:35Z",
    "title_canon_sha256": "59661f4fd013214b669fd6b15db813842d31c0b3f496d670fab59a009b880889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09331",
    "kind": "arxiv",
    "version": 4
  }
}