Pith Number

pith:N6LLML3T

pith:2013:N6LLML3T2CUXNNPMSLSIIXO6HG

not attested not anchored not stored refs pending

Geodesic Structure of Lifshitz Black Holes in 2+1 Dimensions

J. R. Villanueva, Marco Olivares, Norman Cruz

arxiv:1305.2133 v2 · 2013-05-09 · 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{N6LLML3T2CUXNNPMSLSIIXO6HG}

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	2026-05-18T03:19:34.599270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f96b62f73d0a976b5ec92e4845dde39896a3972eb68a5803f93899dc019ed64

Aliases

arxiv: 1305.2133 · arxiv_version: 1305.2133v2 · doi: 10.48550/arxiv.1305.2133 · pith_short_12: N6LLML3T2CUX · pith_short_16: N6LLML3T2CUXNNPM · pith_short_8: N6LLML3T

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/N6LLML3T2CUXNNPMSLSIIXO6HG \
  | 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: 6f96b62f73d0a976b5ec92e4845dde39896a3972eb68a5803f93899dc019ed64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb95803e5cd10e9760425c39c955cf8db022c87e75eb1d3111932af1e1d97fba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-05-09T16:13:28Z",
    "title_canon_sha256": "8a821a5eed14ebfa8d64e0c089d85c93544e3dae3ec205d3c1207dcf87f079bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2133",
    "kind": "arxiv",
    "version": 2
  }
}