Pith Number

pith:Y2ZGPSHQ

pith:2022:Y2ZGPSHQRK5IJP5QRYODOIUMRY

not attested not anchored not stored refs pending

Pantheon+ constraints on dark energy and modified gravity: An evidence of dynamical dark energy

Deng Wang

arxiv:2207.07164 v3 · 2022-07-14 · astro-ph.CO · astro-ph.HE · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2ZGPSHQRK5IJP5QRYODOIUMRY}

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	2026-07-05T04:58:16.561931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b267c8f08aba84bfb08e1c37228c8e00fcf75f9e54c12ce05e40ba8a91d54f

Aliases

arxiv: 2207.07164 · arxiv_version: 2207.07164v3 · doi: 10.48550/arxiv.2207.07164 · pith_short_12: Y2ZGPSHQRK5I · pith_short_16: Y2ZGPSHQRK5IJP5Q · pith_short_8: Y2ZGPSHQ

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/Y2ZGPSHQRK5IJP5QRYODOIUMRY \
  | 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: c6b267c8f08aba84bfb08e1c37228c8e00fcf75f9e54c12ce05e40ba8a91d54f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67dcf11cc20308ad5a2d079bd97cafa11ae04cc2832f228b86351039e9640f6b",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-07-14T18:48:00Z",
    "title_canon_sha256": "988d383dc935138f310a2dfe621a9789b3975b08e0d94dccfbee9503bdb5fe32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07164",
    "kind": "arxiv",
    "version": 3
  }
}