Pith Number

pith:7FWE3AAI

pith:2019:7FWE3AAIQXABZWD5EEJONYDHBW

not attested not anchored not stored refs pending

Electromagnetism in Curved Spacetimes: Coupling of the Doppler and Gravitational Redshifts

Cameron R. D. Bunney, Gabriele Gradoni

arxiv:1912.11851 v4 · 2019-12-26 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FWE3AAIQXABZWD5EEJONYDHBW}

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	2026-07-05T07:00:05.406000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f96c4d800885c01cd87d2112e6e0670d91592b74929652f0377244ed620f2d65

Aliases

arxiv: 1912.11851 · arxiv_version: 1912.11851v4 · doi: 10.48550/arxiv.1912.11851 · pith_short_12: 7FWE3AAIQXAB · pith_short_16: 7FWE3AAIQXABZWD5 · pith_short_8: 7FWE3AAI

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/7FWE3AAIQXABZWD5EEJONYDHBW \
  | 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: f96c4d800885c01cd87d2112e6e0670d91592b74929652f0377244ed620f2d65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab20d14452077cd053d8aa7b68eeb5a8baba5e20bc302b597a06b26bac66565",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-12-26T12:19:32Z",
    "title_canon_sha256": "a84f58f8f078a93e4829b58fe0697e1dcdd3bba5117affe1013bd04923e7ce6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.11851",
    "kind": "arxiv",
    "version": 4
  }
}