Pith Number

pith:X2Q34YPK

pith:2013:X2Q34YPKKPR3VHDTA6S24FYLXV

not attested not anchored not stored refs pending

Refined form of the paper "Canonical formalism of the f(R)-type gravity in terms of Lie derivatives"

Yasuo Ezawa, Yoshiaki Ohkuwa

arxiv:1304.3591 v2 · 2013-04-12 · 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{X2Q34YPKKPR3VHDTA6S24FYLXV}

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	2026-05-18T03:13:12.533736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea1be61ea53e3ba9c7307a5ae170bbd4ae20e84617f845a7c3c347d6727fbb6

Aliases

arxiv: 1304.3591 · arxiv_version: 1304.3591v2 · doi: 10.48550/arxiv.1304.3591 · pith_short_12: X2Q34YPKKPR3 · pith_short_16: X2Q34YPKKPR3VHDT · pith_short_8: X2Q34YPK

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/X2Q34YPKKPR3VHDTA6S24FYLXV \
  | 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: bea1be61ea53e3ba9c7307a5ae170bbd4ae20e84617f845a7c3c347d6727fbb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a77a596bc0998ac585d3e5501dc4ae13d176395fd9c57d4fbbb84cdd2c521c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-04-12T10:20:34Z",
    "title_canon_sha256": "bce10b216c9f5d9e1bb470760930edeedbf45200d631d5aaacd212d84e1910c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3591",
    "kind": "arxiv",
    "version": 2
  }
}