Pith Number

pith:OAJ5GLLJ

pith:2025:OAJ5GLLJRU2KACZLOUVFJPU2V2

not attested not anchored not stored refs pending

Sharp lower bound for the charged Hawking mass in the electrostatic space

Benedito Leandro, Guilherme Sabo

arxiv:2507.03353 v1 · 2025-07-04 · math.DG · 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{OAJ5GLLJRU2KACZLOUVFJPU2V2}

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

Rigidity and positivity of Hawking quasi-local energy on area-constrained critical surfaces

Receipt and verification

First computed	2026-07-05T11:31:57.804564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7013d32d698d34a00b2b752a54be9aaeb18cb626edb892026e76b9cd60ef9850

Aliases

arxiv: 2507.03353 · arxiv_version: 2507.03353v1 · doi: 10.48550/arxiv.2507.03353 · pith_short_12: OAJ5GLLJRU2K · pith_short_16: OAJ5GLLJRU2KACZL · pith_short_8: OAJ5GLLJ

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/OAJ5GLLJRU2KACZLOUVFJPU2V2 \
  | 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: 7013d32d698d34a00b2b752a54be9aaeb18cb626edb892026e76b9cd60ef9850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29aa5765879e074b6a8c7d7b3d0991355236dcf3543b743836d0556ffb3cda22",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-04T07:38:35Z",
    "title_canon_sha256": "c865a6e8dec017b66fe0c1348538dbbfebae3f542bce03a671a464aac7c572a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03353",
    "kind": "arxiv",
    "version": 1
  }
}