Pith Number

pith:RJNMJOLG

pith:2021:RJNMJOLGA2YO4XKZWD4LPP3TQV

not attested not anchored not stored refs pending

Complexity growth of massive black hole with a probe string

Jian-Pin Wu, Xiao-Mei Kuang, Yu-Ting Zhou

arxiv:2104.12998 v3 · 2021-04-27 · 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{RJNMJOLGA2YO4XKZWD4LPP3TQV}

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	2026-07-05T03:09:18.429271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a5ac4b96606b0ee5d59b0f8b7bf738574c1d4e6bb178ea07a97d97211dcbae9

Aliases

arxiv: 2104.12998 · arxiv_version: 2104.12998v3 · doi: 10.48550/arxiv.2104.12998 · pith_short_12: RJNMJOLGA2YO · pith_short_16: RJNMJOLGA2YO4XKZ · pith_short_8: RJNMJOLG

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/RJNMJOLGA2YO4XKZWD4LPP3TQV \
  | 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: 8a5ac4b96606b0ee5d59b0f8b7bf738574c1d4e6bb178ea07a97d97211dcbae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d054a21fb38f19527286b279605e97d00c9b809d09c225c8c193270fa4c30b19",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-04-27T06:12:16Z",
    "title_canon_sha256": "4eb3b2f570c077c4e67b5871dbdf346d0ee0dcc943b14c8519e3c29a437fb7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12998",
    "kind": "arxiv",
    "version": 3
  }
}