Pith Number

pith:SSWOBKTT

pith:2018:SSWOBKTTTFTBRCFYREXWKKCR3R

not attested not anchored not stored refs pending

Propagation of Electromagnetic Waves in MOG: Gravitational Lensing

J. W. Moffat, S. Rahvar

arxiv:1807.07424 v3 · 2018-07-17 · gr-qc · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSWOBKTTTFTBRCFYREXWKKCR3R}

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	2026-05-18T00:00:51.946885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94ace0aa7399661888b8892f652851dc7df4fea2873ec2b98eeaf0eb2b4b0bdb

Aliases

arxiv: 1807.07424 · arxiv_version: 1807.07424v3 · doi: 10.48550/arxiv.1807.07424 · pith_short_12: SSWOBKTTTFTB · pith_short_16: SSWOBKTTTFTBRCFY · pith_short_8: SSWOBKTT

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/SSWOBKTTTFTBRCFYREXWKKCR3R \
  | 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: 94ace0aa7399661888b8892f652851dc7df4fea2873ec2b98eeaf0eb2b4b0bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b1a6788efa969d5b2b0132c419e4284e6faae8006a4f6a5dd5d6df964a702e",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-07-17T19:43:25Z",
    "title_canon_sha256": "1d067cb393532aa1f9ed2ca86f03e383aaf57695bba782ce2369a7994f8580f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07424",
    "kind": "arxiv",
    "version": 3
  }
}