Pith Number

pith:FRYJXF4Q

pith:2007:FRYJXF4QGQJIACVLUBLN5A6HHF

not attested not anchored not stored refs pending

f(R) Gravity with Torsion: The Metric-Affine Approach

C. Stornaiolo, R. Cianci, S. Capozziello, S. Vignolo

arxiv:0708.3038 v2 · 2007-08-22 · 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{FRYJXF4QGQJIACVLUBLN5A6HHF}

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	2026-07-04T15:24:36.414724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c709b97903412800aaba056de83c73979697a31ca9cb7993513523266158102

Aliases

arxiv: 0708.3038 · arxiv_version: 0708.3038v2 · doi: 10.48550/arxiv.0708.3038 · pith_short_12: FRYJXF4QGQJI · pith_short_16: FRYJXF4QGQJIACVL · pith_short_8: FRYJXF4Q

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/FRYJXF4QGQJIACVLUBLN5A6HHF \
  | 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: 2c709b97903412800aaba056de83c73979697a31ca9cb7993513523266158102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12b90313c89ed119ec71c718703123c0e27e443fcefabb01293eb01bec5055a3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-08-22T15:39:38Z",
    "title_canon_sha256": "a514287f5a53f70b014d00229387e4ca7dd2ff8cc61328c805bedbc4b9ddc187"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3038",
    "kind": "arxiv",
    "version": 2
  }
}