Pith Number

pith:CR7ZRFNJ

pith:2022:CR7ZRFNJXUFDQKWKIVIT2JSYA6

not attested not anchored not stored refs pending

Investigating dark energy by electromagnetic frequency shifts

Alessandro D.A.M. Spallicci, Giuseppe Sarracino, Salvatore Capozziello

arxiv:2202.02731 v1 · 2022-02-06 · astro-ph.CO · 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{CR7ZRFNJXUFDQKWKIVIT2JSYA6}

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	2026-07-05T03:59:02.996013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

147f9895a9bd0a382aca45513d265807935a8ad8cbdccccc6d50845664c04177

Aliases

arxiv: 2202.02731 · arxiv_version: 2202.02731v1 · doi: 10.48550/arxiv.2202.02731 · pith_short_12: CR7ZRFNJXUFD · pith_short_16: CR7ZRFNJXUFDQKWK · pith_short_8: CR7ZRFNJ

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/CR7ZRFNJXUFDQKWKIVIT2JSYA6 \
  | 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: 147f9895a9bd0a382aca45513d265807935a8ad8cbdccccc6d50845664c04177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15aadb4df55f91c0137b5e750ca93003ecb628eea60ff91340cfd8e46a5f12d7",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-02-06T08:28:39Z",
    "title_canon_sha256": "9a9424ecfbb151fc3cf656e9f04571c0850b04fce01d4567155dfea145259bf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.02731",
    "kind": "arxiv",
    "version": 1
  }
}