Pith Number

pith:VHNZ2FU7

pith:2017:VHNZ2FU7FK24VXSYNHB6XK6MJY

not attested not anchored not stored refs pending

Photon orbits and thermodynamic phase transition of $d$-dimensional charged AdS black holes

Shao-Wen Wei, Yu-Xiao Liu

arxiv:1711.01522 v2 · 2017-11-05 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHNZ2FU7FK24VXSYNHB6XK6MJY}

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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.

Cited by

1 paper in Pith

Topological charge and black hole photon spheres in massive gravity

Receipt and verification

First computed	2026-05-18T00:15:20.262652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9db9d169f2ab5cade5869c3ebabcc4e2cc1273e8c26584acf3978e12fd37688

Aliases

arxiv: 1711.01522 · arxiv_version: 1711.01522v2 · doi: 10.48550/arxiv.1711.01522 · pith_short_12: VHNZ2FU7FK24 · pith_short_16: VHNZ2FU7FK24VXSY · pith_short_8: VHNZ2FU7

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/VHNZ2FU7FK24VXSYNHB6XK6MJY \
  | 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: a9db9d169f2ab5cade5869c3ebabcc4e2cc1273e8c26584acf3978e12fd37688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b48911b427dd9e6eaa26abe77765b1bc742ad769ea2b754cdb402a79e5dffa7f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-11-05T03:00:08Z",
    "title_canon_sha256": "232e74bacfd1baad077ada060fbd06b521a6354f84ed38657a058e17df0c018b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01522",
    "kind": "arxiv",
    "version": 2
  }
}