Pith Number

pith:VAF5CTHW

pith:2013:VAF5CTHWQAX7LPYQCEUTHLHGHP

not attested not anchored not stored refs pending

The globally hyperbolic metric splitting for non-smooth wave-type space-times

Clemens S\"amann, G\"unther H\"ormann

arxiv:1310.1310 v2 · 2013-10-04 · math-ph · gr-qc · math.CA · math.DG · 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{VAF5CTHWQAX7LPYQCEUTHLHGHP}

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	2026-05-18T02:48:54.884734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a80bd14cf6802ff5bf10112933ace63be94aec83d6f38cd88c2eee61398811bf

Aliases

arxiv: 1310.1310 · arxiv_version: 1310.1310v2 · doi: 10.48550/arxiv.1310.1310 · pith_short_12: VAF5CTHWQAX7 · pith_short_16: VAF5CTHWQAX7LPYQ · pith_short_8: VAF5CTHW

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/VAF5CTHWQAX7LPYQCEUTHLHGHP \
  | 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: a80bd14cf6802ff5bf10112933ace63be94aec83d6f38cd88c2eee61398811bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341dceb02f19ec68b95b1a9d7d82b8e05d78603c30d542c5438f786083c57176",
    "cross_cats_sorted": [
      "gr-qc",
      "math.CA",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-10-04T15:03:57Z",
    "title_canon_sha256": "6d81ea611fcf68da3140c07fc285a86530360e93091e8ea0d5825ed88fa992b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1310",
    "kind": "arxiv",
    "version": 2
  }
}