Pith Number

pith:FMALPHWD

pith:2021:FMALPHWDK4K55U4SGSROH74KMC

not attested not anchored not stored refs pending

Quasinormal modes and shadow of a Schwarzschild black hole with GUP

E. Passos, F. A. Brito, J. A. V. Campos, M. A. Anacleto

arxiv:2108.04998 v2 · 2021-08-11 · 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{FMALPHWDK4K55U4SGSROH74KMC}

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

Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms

Receipt and verification

First computed	2026-07-05T03:31:03.695814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b00b79ec35715ded39234a2e3ff8a60a3690c4b53196844d39f9effd5951a38

Aliases

arxiv: 2108.04998 · arxiv_version: 2108.04998v2 · doi: 10.48550/arxiv.2108.04998 · pith_short_12: FMALPHWDK4K5 · pith_short_16: FMALPHWDK4K55U4S · pith_short_8: FMALPHWD

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/FMALPHWDK4K55U4SGSROH74KMC \
  | 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: 2b00b79ec35715ded39234a2e3ff8a60a3690c4b53196844d39f9effd5951a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fd527565598c05530af1e46aa25a03fb82a3803e5c69cf3549f92cdd77c7744",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-08-11T02:41:25Z",
    "title_canon_sha256": "a3bbbd65e5f3aa9a5316e9d9b960c176ff19c075421cf7f54a4e17451a8170e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.04998",
    "kind": "arxiv",
    "version": 2
  }
}