Pith Number

pith:6CDJUFLG

pith:2010:6CDJUFLGFB4FUETQPBPFDCUYNG

not attested not anchored not stored refs pending

Dirac fields in f(R)-gravity with torsion

Luca Fabbri, Stefano Vignolo

arxiv:1012.1270 v2 · 2010-12-06 · gr-qc · hep-th · 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{6CDJUFLGFB4FUETQPBPFDCUYNG}

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	2026-05-18T04:22:11.159753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0869a156628785a1270785e518a9869a9219ee955ddcdaed35b9943beeb0814

Aliases

arxiv: 1012.1270 · arxiv_version: 1012.1270v2 · doi: 10.48550/arxiv.1012.1270 · pith_short_12: 6CDJUFLGFB4F · pith_short_16: 6CDJUFLGFB4FUETQ · pith_short_8: 6CDJUFLG

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/6CDJUFLGFB4FUETQPBPFDCUYNG \
  | 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: f0869a156628785a1270785e518a9869a9219ee955ddcdaed35b9943beeb0814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04ec95fa45043920f5da7ec9ac5e56163823b33b3186b19f0dfd3f95f757b676",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-12-06T18:17:48Z",
    "title_canon_sha256": "5c00d602b15487dad53476cab2cedfa9598192c0d79bdbb45b9c911e72159870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1270",
    "kind": "arxiv",
    "version": 2
  }
}