Pith Number

pith:OXF7SYRL

pith:2019:OXF7SYRLQMHZPD6HYCYLE64QZD

not attested not anchored not stored refs pending

A new approximation of photon geodesics in Schwarzschild spacetime

1), 2), (2) Research Centre for Computational Physics, 3, (3) M. R. \v{S}tefanik Observatory, (4) International Space Science Institute - ISSI, 5) ((1) INAF - Osservatorio Astronomico di Roma, (5) International Space Science Institute Beijing, Bern, Czech Republic, Data Processing, Hlohovec, Italy, Luigi Stella (1), Maurizio Falanga (4, Monte Porzio Catone, Pavel Bakala (2, Planetarium, P.R. China), Riccardo La Placa (1, Silesian University in Opava, Slovak Republic, Switzerland

arxiv:1907.11786 v1 · 2019-07-25 · 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{OXF7SYRLQMHZPD6HYCYLE64QZD}

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

Observational constraints on nonlocal black holes via gravitational lensing

Receipt and verification

First computed	2026-05-17T23:39:23.067777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75cbf9622b830f978fc7c0b0b27b90c8c5d694d1a58ec095af70fd53a375cc75

Aliases

arxiv: 1907.11786 · arxiv_version: 1907.11786v1 · doi: 10.48550/arxiv.1907.11786 · pith_short_12: OXF7SYRLQMHZ · pith_short_16: OXF7SYRLQMHZPD6H · pith_short_8: OXF7SYRL

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/OXF7SYRLQMHZPD6HYCYLE64QZD \
  | 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: 75cbf9622b830f978fc7c0b0b27b90c8c5d694d1a58ec095af70fd53a375cc75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b595250a85c3111b7e3d0a127c0e6ba72b487faacbb3f9a5391a31c40f173a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-07-25T15:56:36Z",
    "title_canon_sha256": "976df0483c2930ddb4df186c23c816ac0e5bd047febadcb27e725f7344e32229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11786",
    "kind": "arxiv",
    "version": 1
  }
}