Pith Number

pith:56QNM3WQ

pith:2012:56QNM3WQBA4BN3WNDOO6EFBU2G

not attested not anchored not stored refs pending

Topological Static Spherically Symmetric vacuum Solutions in $\mathcal F(R,G)$ Gravity

Lorenzo Sebastiani, Ratbay Myrzakulov, Sergio Zerbini

arxiv:1208.3392 v3 · 2012-08-16 · 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{56QNM3WQBA4BN3WNDOO6EFBU2G}

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	2026-05-18T03:28:05.836550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efa0d66ed0083816eecd1b9de21434d1aaa6ea9ee0701303d06f0ead30b4a9eb

Aliases

arxiv: 1208.3392 · arxiv_version: 1208.3392v3 · doi: 10.48550/arxiv.1208.3392 · pith_short_12: 56QNM3WQBA4B · pith_short_16: 56QNM3WQBA4BN3WN · pith_short_8: 56QNM3WQ

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/56QNM3WQBA4BN3WNDOO6EFBU2G \
  | 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: efa0d66ed0083816eecd1b9de21434d1aaa6ea9ee0701303d06f0ead30b4a9eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b589a68760d4f07395bc683ee7f945e6a4fc4ceac80348d62c96e0f32a734c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-16T15:10:28Z",
    "title_canon_sha256": "b656cff08e068e638e198d05bfe4cb5682a347c9819f770cfcae50a3693c7c0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3392",
    "kind": "arxiv",
    "version": 3
  }
}