Pith Number

pith:LGZMRDYJ

pith:2026:LGZMRDYJE5GG6NVKPBLFTKQXQY

not attested not anchored not stored refs pending

Periodic orbits as probes of charged loop quantum gravity black holes through gravitational waves

Abolhassan Mohammadi, Arun Kumar, Hongwei Tan, Sushant G. Ghosh

arxiv:2606.11728 v1 · 2026-06-10 · 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{LGZMRDYJE5GG6NVKPBLFTKQXQY}

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	2026-06-11T01:10:05.028360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59b2c88f09274c6f36aa785659aa17863d2be62a834d31f8424376b934ed0306

Aliases

arxiv: 2606.11728 · arxiv_version: 2606.11728v1 · doi: 10.48550/arxiv.2606.11728 · pith_short_12: LGZMRDYJE5GG · pith_short_16: LGZMRDYJE5GG6NVK · pith_short_8: LGZMRDYJ

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/LGZMRDYJE5GG6NVKPBLFTKQXQY \
  | 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: 59b2c88f09274c6f36aa785659aa17863d2be62a834d31f8424376b934ed0306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90bf1a3e697852b74badb3ecb9c84216380391d7eceb4797a518b5410b0edc9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-10T07:06:19Z",
    "title_canon_sha256": "dbd6e0b4fbd5b736ed42847101aee2fca52dbac43112a361d57e006addcfd106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11728",
    "kind": "arxiv",
    "version": 1
  }
}