Pith Number

pith:S4Q2K33N

pith:2025:S4Q2K33NJRETCZZC7HYLOB4LO2

not attested not anchored not stored refs pending

Comment on "Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity"

A. A. Ara\'ujo Filho, Iarley P. Lobo

arxiv:2507.22965 v1 · 2025-07-30 · 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{S4Q2K33NJRETCZZC7HYLOB4LO2}

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	2026-07-05T11:46:02.961399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9721a56f6d4c49316722f9f0b7078b7690a2256a311461f8e01432db82905e97

Aliases

arxiv: 2507.22965 · arxiv_version: 2507.22965v1 · doi: 10.48550/arxiv.2507.22965 · pith_short_12: S4Q2K33NJRET · pith_short_16: S4Q2K33NJRETCZZC · pith_short_8: S4Q2K33N

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/S4Q2K33NJRETCZZC7HYLOB4LO2 \
  | 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: 9721a56f6d4c49316722f9f0b7078b7690a2256a311461f8e01432db82905e97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d90f88c1d6aa414da13d052bbc51fb4ff80d4051068b7913412531989a0e1db",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-30T11:50:25Z",
    "title_canon_sha256": "879022c838546184be5989782ced47b545c620967d6e8540627f6c0b6aee5c0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22965",
    "kind": "arxiv",
    "version": 1
  }
}