pith. sign in
Pith Number

pith:Y7XYQM5R

pith:2012:Y7XYQM5R5Q7RIWZSSYVY7CCODF
not attested not anchored not stored refs pending

Graphene and the Zermelo Optical Metric of the BTZ Black Hole

G. W. Gibbons, M. Cvetic

arxiv:1202.2938 v2 · 2012-02-14 · hep-th · cond-mat.mtrl-sci · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y7XYQM5R5Q7RIWZSSYVY7CCODF}

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 2026-05-18T01:58:28.866594Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c7ef8833b1ec3f145b32962b8f884e194f4fc9f9116dcfa989cda87d5de9a536

Aliases

arxiv: 1202.2938 · arxiv_version: 1202.2938v2 · doi: 10.48550/arxiv.1202.2938 · pith_short_12: Y7XYQM5R5Q7R · pith_short_16: Y7XYQM5R5Q7RIWZS · pith_short_8: Y7XYQM5R
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y7XYQM5R5Q7RIWZSSYVY7CCODF \
  | 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: c7ef8833b1ec3f145b32962b8f884e194f4fc9f9116dcfa989cda87d5de9a536
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7689d5e079003e3c7b37ba3e2dfec85e7058a4ad7a9ba4f31ce9ac324827e782",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-02-14T04:44:11Z",
    "title_canon_sha256": "3f6c1028c84e24295f1f2da0867deb097a1fb56b5093e627807b9924a17ba0b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2938",
    "kind": "arxiv",
    "version": 2
  }
}