Pith Number

pith:NC2OFCAL

pith:2026:NC2OFCALB3H46BDFA5FDGHPQVD

not attested not anchored not stored refs pending

Optimal frequency scales for probing black-hole geometries

Saulo Albuquerque, Sebastian H. V\"olkel

arxiv:2608.01061 v1 · 2026-08-02 · 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{NC2OFCALB3H46BDFA5FDGHPQVD}

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	2026-08-04T01:56:27.440761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68b4e2880b0ecfcf0465074a331df0a8ea8987bb629017e1ce0e4a3db8f04986

Aliases

arxiv: 2608.01061 · arxiv_version: 2608.01061v1 · doi: 10.48550/arxiv.2608.01061 · pith_short_12: NC2OFCALB3H4 · pith_short_16: NC2OFCALB3H46BDF · pith_short_8: NC2OFCAL

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/NC2OFCALB3H46BDFA5FDGHPQVD \
  | 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: 68b4e2880b0ecfcf0465074a331df0a8ea8987bb629017e1ce0e4a3db8f04986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a15f902f75f3c518f773f021b65e6a6a8a2123ff73757a0958b79d2010a59bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-02T07:53:55Z",
    "title_canon_sha256": "2c7da35b6dc6d68f2195342f72cfafdc8ea7b3b20a3e8bdbe2b43f4ba1c3c2fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01061",
    "kind": "arxiv",
    "version": 1
  }
}