Pith Number

pith:OC5XJ6PI

pith:2019:OC5XJ6PIFPRM44NWL73QS7RQEJ

not attested not anchored not stored refs pending

Globally maximal timelike geodesics in static spherically symmetric spacetimes: radial geodesics in static spacetimes and arbitrary geodesic curves in ultrastatic spacetimes

Leszek M. Sokolowski, Zdzislaw A. Golda

arxiv:1901.03533 v1 · 2019-01-11 · 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{OC5XJ6PIFPRM44NWL73QS7RQEJ}

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	2026-05-17T23:42:02.629082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70bb74f9e82be2ce71b65ff7097e30226da6fb3de62c20967ef04ab9623645de

Aliases

arxiv: 1901.03533 · arxiv_version: 1901.03533v1 · doi: 10.48550/arxiv.1901.03533 · pith_short_12: OC5XJ6PIFPRM · pith_short_16: OC5XJ6PIFPRM44NW · pith_short_8: OC5XJ6PI

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/OC5XJ6PIFPRM44NWL73QS7RQEJ \
  | 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: 70bb74f9e82be2ce71b65ff7097e30226da6fb3de62c20967ef04ab9623645de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9dfb15d48dbfc4f6e2b3fd44b11290cd9bb0702c10d0276ed2691832d78626f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-01-11T10:02:39Z",
    "title_canon_sha256": "323f2d6f4fb6760f2c217abf2e7dbe4d4eb0b3fb0d0f57c4acbc3d047f79da92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03533",
    "kind": "arxiv",
    "version": 1
  }
}