Pith Number

pith:VYZTLZZA

pith:2018:VYZTLZZATGSOZCLB6D4SZ7IPCX

not attested not anchored not stored refs pending

Fundamental Frequencies in the Schwarzschild Spacetime

G.D. Zhumakhanova, J.A. Rueda, K.A. Boshkayev, M. Muccino

arxiv:1802.06773 v3 · 2018-02-17 · astro-ph.HE · 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{VYZTLZZATGSOZCLB6D4SZ7IPCX}

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	2026-05-18T00:11:57.345193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae3335e72099a4ec8961f0f92cfd0f15ced6f7b024e1ea2ffe1ece76bb5b5948

Aliases

arxiv: 1802.06773 · arxiv_version: 1802.06773v3 · doi: 10.48550/arxiv.1802.06773 · pith_short_12: VYZTLZZATGSO · pith_short_16: VYZTLZZATGSOZCLB · pith_short_8: VYZTLZZA

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/VYZTLZZATGSOZCLB6D4SZ7IPCX \
  | 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: ae3335e72099a4ec8961f0f92cfd0f15ced6f7b024e1ea2ffe1ece76bb5b5948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8fe646f7d0dd03f5fe42ec24cd192be4ee70d0f165e0b0e626b338af8b9854",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2018-02-17T15:25:24Z",
    "title_canon_sha256": "96130efde13f75e1359c16ba8bb0fb3206b4bf2b4800469457bd1c2a0fafb79f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06773",
    "kind": "arxiv",
    "version": 3
  }
}