Pith Number

pith:JTNJHIU4

pith:2021:JTNJHIU4E4STSA7JRQ3Z6VIWAA

not attested not anchored not stored refs pending

Photon frequency shift in curvature based Extended Theories of Gravity

Antonio Stabile, Arturo Stabile, Gaetano Lambiase, Salvatore Capozziello

arxiv:2102.12401 v2 · 2021-02-24 · gr-qc · astro-ph.EP · 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{JTNJHIU4E4STSA7JRQ3Z6VIWAA}

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	2026-07-05T02:20:19.081598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cda93a29c27253903e98c379f5516002b403c1dbfc0a7417573f7fd703b8e8c

Aliases

arxiv: 2102.12401 · arxiv_version: 2102.12401v2 · doi: 10.48550/arxiv.2102.12401 · pith_short_12: JTNJHIU4E4ST · pith_short_16: JTNJHIU4E4STSA7J · pith_short_8: JTNJHIU4

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/JTNJHIU4E4STSA7JRQ3Z6VIWAA \
  | 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: 4cda93a29c27253903e98c379f5516002b403c1dbfc0a7417573f7fd703b8e8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd15663ff2216a227b1ca5809bc948f22d06d529ff4749e6317c38cb057baea6",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-02-24T16:38:16Z",
    "title_canon_sha256": "979319c9e196dd356831a9dfe31ab6979e38226824bd541419a4f155222a7278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.12401",
    "kind": "arxiv",
    "version": 2
  }
}