Pith Number

pith:G36MLLRC

pith:2020:G36MLLRCGH3F7ZMDNGZGHKFTTO

not attested not anchored not stored refs pending

Polar gravitational perturbations and quasinormal modes of a loop quantum gravity black hole

C. A. S. Silva, F. A. Brito, M. B. Cruz

arxiv:2005.02208 v3 · 2020-05-04 · 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{G36MLLRCGH3F7ZMDNGZGHKFTTO}

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	2026-07-05T01:34:00.433238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36fcc5ae2231f65fe58369b263a8b39bbfc7dc06693e6eeac034a35e31c0fda6

Aliases

arxiv: 2005.02208 · arxiv_version: 2005.02208v3 · doi: 10.48550/arxiv.2005.02208 · pith_short_12: G36MLLRCGH3F · pith_short_16: G36MLLRCGH3F7ZMD · pith_short_8: G36MLLRC

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/G36MLLRCGH3F7ZMDNGZGHKFTTO \
  | 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: 36fcc5ae2231f65fe58369b263a8b39bbfc7dc06693e6eeac034a35e31c0fda6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa97e683c0eaf643d8602350ed1f375b9927d470d977bfe07d2861e370a22ac",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-05-04T17:39:47Z",
    "title_canon_sha256": "28c13d063a4a33b5a2cd6c2ecf36c0e943d4e5412abedd072e0e3f6a7970fdec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.02208",
    "kind": "arxiv",
    "version": 3
  }
}