Pith Number

pith:64CNV6UK

pith:2025:64CNV6UKH56SVV5IVY26GHBDAH

not attested not anchored not stored refs pending

Optimal Control Theory of the (2+1)-Dimensional BTZ Black Hole

G. S. Stoilov, M. Radomirov, R. C. Rashkov, T. Vetsov

arxiv:2512.06931 v3 · 2025-12-07 · 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{64CNV6UKH56SVV5IVY26GHBDAH}

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	2026-06-11T01:10:30.597868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f704dafa8a3f7d2ad7a8ae35e31c2301df63a79de188bb94eab343df040c256c

Aliases

arxiv: 2512.06931 · arxiv_version: 2512.06931v3 · doi: 10.48550/arxiv.2512.06931 · pith_short_12: 64CNV6UKH56S · pith_short_16: 64CNV6UKH56SVV5I · pith_short_8: 64CNV6UK

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/64CNV6UKH56SVV5IVY26GHBDAH \
  | 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: f704dafa8a3f7d2ad7a8ae35e31c2301df63a79de188bb94eab343df040c256c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccfeb5959a5249bb972b66a7294164a705fb66f4a7354f3614b95d2a7c597e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-07T17:20:42Z",
    "title_canon_sha256": "ff88bb155ca81d3acf2e96ad1605268a3977abaaa619247b34bc2d05b3525b3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.06931",
    "kind": "arxiv",
    "version": 3
  }
}