Pith Number

pith:H7G5AEU5

pith:2026:H7G5AEU5BPIULKMGCX4VVPJFAM

not attested not anchored not stored refs pending

Vacuum polarization in the Schwarzschild black hole with a global monopole

Jo\~ao Paulo M. Pitelli, Leonardo G. Barbosa, Victor H. M. Ramos

arxiv:2602.10899 v2 · 2026-02-11 · 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{H7G5AEU5BPIULKMGCX4VVPJFAM}

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	2026-07-14T02:22:29.527418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fcdd0129d0bd145a98615f95abd250303804eabbabe27b397a1d5eef86f509f

Aliases

arxiv: 2602.10899 · arxiv_version: 2602.10899v2 · doi: 10.48550/arxiv.2602.10899 · pith_short_12: H7G5AEU5BPIU · pith_short_16: H7G5AEU5BPIULKMG · pith_short_8: H7G5AEU5

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/H7G5AEU5BPIULKMGCX4VVPJFAM \
  | 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: 3fcdd0129d0bd145a98615f95abd250303804eabbabe27b397a1d5eef86f509f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c59202175480856c385d5c1e2f4d655fcb940d5d6f3d18ee4d4c3687872666e5",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-02-11T14:26:56Z",
    "title_canon_sha256": "121b04cba5d04f852d8e9f9170c6502851117526b8e1ecf1fbc1471972070b28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.10899",
    "kind": "arxiv",
    "version": 2
  }
}