Pith Number

pith:2P5OXCEN

pith:2025:2P5OXCENTVGE4OXWJLJ5XHRC5O

not attested not anchored not stored refs pending

Imprints of quantum vacuum fluctuations on the gravitational field of a spherical mass

Francesco Di Filippo, Kazumasa Okabayashi, Ra\'ul Carballo-Rubio, Shinji Mukohyama

arxiv:2509.10667 v2 · 2025-09-12 · 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{2P5OXCENTVGE4OXWJLJ5XHRC5O}

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

3 papers in Pith

Photon Spheres and shadow of modified black-hole entropies

Receipt and verification

First computed	2026-06-09T02:07:08.714117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3faeb888d9d4c4e3af64ad3db9e22eb8b40a7f4e904fdb854eac37bbcacfbdd

Aliases

arxiv: 2509.10667 · arxiv_version: 2509.10667v2 · doi: 10.48550/arxiv.2509.10667 · pith_short_12: 2P5OXCENTVGE · pith_short_16: 2P5OXCENTVGE4OXW · pith_short_8: 2P5OXCEN

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/2P5OXCENTVGE4OXWJLJ5XHRC5O \
  | 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: d3faeb888d9d4c4e3af64ad3db9e22eb8b40a7f4e904fdb854eac37bbcacfbdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1786442820473f5da3c26ec0394a7c41eda93003929c5470d21c458ed3ff479",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-09-12T19:50:03Z",
    "title_canon_sha256": "40fd5874aa5ee34799a6e49f78db24fa2093c85800de8ff145fc6c2ea9c3af08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10667",
    "kind": "arxiv",
    "version": 2
  }
}