Pith Number

pith:HNPQGXKE

pith:2018:HNPQGXKEFIARMH5QS4TJN2K7GI

not attested not anchored not stored refs pending

Light bending in $F\left[g(\square)R\right]$ extended gravity theories

Breno L. Giacchini, Ilya L. Shapiro

arxiv:1801.08630 v2 · 2018-01-25 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNPQGXKEFIARMH5QS4TJN2K7GI}

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	2026-05-18T00:21:45.682401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b5f035d442a01161fb0972696e95f320302bdacfd93103e092943c653813213

Aliases

arxiv: 1801.08630 · arxiv_version: 1801.08630v2 · doi: 10.48550/arxiv.1801.08630 · pith_short_12: HNPQGXKEFIAR · pith_short_16: HNPQGXKEFIARMH5Q · pith_short_8: HNPQGXKE

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/HNPQGXKEFIARMH5QS4TJN2K7GI \
  | 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: 3b5f035d442a01161fb0972696e95f320302bdacfd93103e092943c653813213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce53418d355fe7c5222cf504e63d114847f1af7c820a70555eba6c409fb90df2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-01-25T23:26:48Z",
    "title_canon_sha256": "9548d0417a979779bc07b6b1dc62f099f0574a98dddeda01cea26fc61d2a89dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08630",
    "kind": "arxiv",
    "version": 2
  }
}