Pith Number

pith:B4QBBIAX

pith:2020:B4QBBIAXMQUGUKJ7QN2XODPHQS

not attested not anchored not stored refs pending

Cosmology and the massive photon frequency shift in the Standard-Model Extension

Alessandro D.A.M. Spallicci, Jos\'e A. Helay\"el-Neto, Martin L\'opez-Corredoira, Salvatore Capozziello

arxiv:2011.12608 v1 · 2020-11-25 · 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{B4QBBIAXMQUGUKJ7QN2XODPHQS}

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	2026-07-05T02:08:40.570027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2010a01764286a293f8375770de784a7b2fc2def95c5c5249a4cfaad634b75

Aliases

arxiv: 2011.12608 · arxiv_version: 2011.12608v1 · doi: 10.48550/arxiv.2011.12608 · pith_short_12: B4QBBIAXMQUG · pith_short_16: B4QBBIAXMQUGUKJ7 · pith_short_8: B4QBBIAX

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/B4QBBIAXMQUGUKJ7QN2XODPHQS \
  | 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: 0f2010a01764286a293f8375770de784a7b2fc2def95c5c5249a4cfaad634b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6d4848afb8a57689be46c05f3a4d422193842fd70b48ee84a1be13a1dad5ac9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-11-25T09:36:07Z",
    "title_canon_sha256": "03ad215b87a4cb34e2cdc546f4c5ee15dab05f31049cfe9748ebd7a9ee353be2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.12608",
    "kind": "arxiv",
    "version": 1
  }
}