Pith Number

pith:FUA7WEVJ

pith:2015:FUA7WEVJBEK2HTEEGRQ5EOJA4Q

not attested not anchored not stored refs pending

Geodesic equation in Schwarzschild--(anti-)de Sitter space--times: Analytical solutions and applications

Claus L\"ammerzahl, Eva Hackmann

arxiv:1505.07973 v1 · 2015-05-29 · 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{FUA7WEVJBEK2HTEEGRQ5EOJA4Q}

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	2026-05-18T02:00:00.135957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d01fb12a90915a3cc843461d23920e428b5fa288c4b1f61716f5fb94c8c0f1f

Aliases

arxiv: 1505.07973 · arxiv_version: 1505.07973v1 · doi: 10.48550/arxiv.1505.07973 · pith_short_12: FUA7WEVJBEK2 · pith_short_16: FUA7WEVJBEK2HTEE · pith_short_8: FUA7WEVJ

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/FUA7WEVJBEK2HTEEGRQ5EOJA4Q \
  | 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: 2d01fb12a90915a3cc843461d23920e428b5fa288c4b1f61716f5fb94c8c0f1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ad74750102074780b972a6c50cc817ae0e863d4152e6a0d9b065d62a815802f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-05-29T09:44:09Z",
    "title_canon_sha256": "4cae8f09099754d7d95f2a2393959b7abc082eb23c85fa9ae970a95090001871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07973",
    "kind": "arxiv",
    "version": 1
  }
}