Pith Number

pith:HBJFCQJP

pith:2020:HBJFCQJPX3MKIV3XVGGD5HWYCY

not attested not anchored not stored refs pending

Rotating black hole with a probe string in Horndeski Gravity

F. F. Santos

arxiv:2005.10983 v4 · 2020-05-22 · hep-th · 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{HBJFCQJPX3MKIV3XVGGD5HWYCY}

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.

Cited by

1 paper in Pith

$R^2$ corrections to Complexity Growth with a Probe String

Receipt and verification

First computed	2026-07-05T01:41:54.191631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385251412fbed8a45777a98c3e9ed8161c002a882048caf75bb1837b97b40ebf

Aliases

arxiv: 2005.10983 · arxiv_version: 2005.10983v4 · doi: 10.48550/arxiv.2005.10983 · pith_short_12: HBJFCQJPX3MK · pith_short_16: HBJFCQJPX3MKIV3X · pith_short_8: HBJFCQJP

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/HBJFCQJPX3MKIV3XVGGD5HWYCY \
  | 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: 385251412fbed8a45777a98c3e9ed8161c002a882048caf75bb1837b97b40ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406ff352e5eb0f9441ca18f86c17e34026a8c750209491140582d9207b7a861a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-05-22T03:23:31Z",
    "title_canon_sha256": "bdc2fdb542d419b62fe9c21cf7df40247dc0c63f834766955be149a5ce0a88f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.10983",
    "kind": "arxiv",
    "version": 4
  }
}