Pith Number

pith:GZRPA7AT

pith:2023:GZRPA7ATWAGKEPTMBUGJ4ZIZOY

not attested not anchored not stored refs pending

Static spheres around spherically symmetric black hole spacetime

Robert B. Mann, Shao-Wen Wei, Yu-Peng Zhang, Yu-Xiao Liu

arxiv:2303.06814 v2 · 2023-03-13 · 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{GZRPA7ATWAGKEPTMBUGJ4ZIZOY}

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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

Topology of black hole thermodynamics: A brief review

Receipt and verification

First computed	2026-07-05T07:03:22.502803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3662f07c13b00ca23e6c0d0c9e651976165aafc6158f6842ce786f4b8c682dae

Aliases

arxiv: 2303.06814 · arxiv_version: 2303.06814v2 · doi: 10.48550/arxiv.2303.06814 · pith_short_12: GZRPA7ATWAGK · pith_short_16: GZRPA7ATWAGKEPTM · pith_short_8: GZRPA7AT

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/GZRPA7ATWAGKEPTMBUGJ4ZIZOY \
  | 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: 3662f07c13b00ca23e6c0d0c9e651976165aafc6158f6842ce786f4b8c682dae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6149f96070c0db91b78357dd445f16cba2942fe1cab54aaa533e86eeedb0c70",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-03-13T02:14:33Z",
    "title_canon_sha256": "fd8525eb7feaff70ac512cd18c3eebe093887c7c7108787a00f10fb86b65b365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.06814",
    "kind": "arxiv",
    "version": 2
  }
}