Pith Number

pith:OY4XAVZU

pith:2016:OY4XAVZUNWRYKFFLZLBWTQ3J3W

not attested not anchored not stored refs pending

The global uniqueness and $C^1$-regularity of geodesics in expanding impulsive gravitational waves

Clemens S\"amann, Jiri Podolsky, Robert Svarc, Roland Steinbauer

arxiv:1602.05020 v2 · 2016-02-16 · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OY4XAVZUNWRYKFFLZLBWTQ3J3W}

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	2026-05-18T01:02:13.207810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76397057346da38514abcac369c369ddab5da34afea9455e320d8ce12aa95283

Aliases

arxiv: 1602.05020 · arxiv_version: 1602.05020v2 · doi: 10.48550/arxiv.1602.05020 · pith_short_12: OY4XAVZUNWRY · pith_short_16: OY4XAVZUNWRYKFFL · pith_short_8: OY4XAVZU

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/OY4XAVZUNWRYKFFLZLBWTQ3J3W \
  | 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: 76397057346da38514abcac369c369ddab5da34afea9455e320d8ce12aa95283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d457deea9f9d8849b9e66fa201235ce88d0c83229b9154faaf9c75f24a85462f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-02-16T13:57:13Z",
    "title_canon_sha256": "1718fcee9510f1b543fdd808d853ff7e9d2f1b309952155fdc0380f969583fbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05020",
    "kind": "arxiv",
    "version": 2
  }
}