Pith Number

pith:XXAM6XUL

pith:2012:XXAM6XULDV3ACZ7MPHKAHXEBA2

not attested not anchored not stored refs pending

Third quantization of $f(R)$-type gravity II - General $f(R)$ case -

Yasuo Ezawa, Yoshiaki Ohkuwa

arxiv:1210.4719 v2 · 2012-10-10 · 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{XXAM6XULDV3ACZ7MPHKAHXEBA2}

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	2026-05-17T23:47:36.697397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc0cf5e8b1d760167ec79d403dc81068ef35318e6b5e6b941caab355c5c6335

Aliases

arxiv: 1210.4719 · arxiv_version: 1210.4719v2 · doi: 10.48550/arxiv.1210.4719 · pith_short_12: XXAM6XULDV3A · pith_short_16: XXAM6XULDV3ACZ7M · pith_short_8: XXAM6XUL

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/XXAM6XULDV3ACZ7MPHKAHXEBA2 \
  | 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: bdc0cf5e8b1d760167ec79d403dc81068ef35318e6b5e6b941caab355c5c6335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b02e137ee548fb7f4a736055d406ee06e18430c7328f0b9e661d80b3615ff6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-10-10T01:54:21Z",
    "title_canon_sha256": "a05c6013e37e11c6852ade9855a6a2600890e05afb6d9c468b8e39837fb41e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4719",
    "kind": "arxiv",
    "version": 2
  }
}