Pith Number

pith:MBSPMKAR

pith:2014:MBSPMKARKNWFEA2YQTHVRN5OX3

not attested not anchored not stored refs pending

On the area of the symmetry orbits in weakly regular Einstein-Euler spacetimes with Gowdy symmetry

Nastasia Grubic, Philippe G. LeFloch

arxiv:1411.3269 v1 · 2014-11-12 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBSPMKARKNWFEA2YQTHVRN5OX3}

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	2026-05-18T02:37:45.396690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6064f62811536c52035884cf58b7aebed7999fcc3290d668bfccfd4553da877d

Aliases

arxiv: 1411.3269 · arxiv_version: 1411.3269v1 · doi: 10.48550/arxiv.1411.3269 · pith_short_12: MBSPMKARKNWF · pith_short_16: MBSPMKARKNWFEA2Y · pith_short_8: MBSPMKAR

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/MBSPMKARKNWFEA2YQTHVRN5OX3 \
  | 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: 6064f62811536c52035884cf58b7aebed7999fcc3290d668bfccfd4553da877d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bd4806bfccccca7f50ff89a036b272cb5027d834960560af64b6d924f89bb23",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-11-12T18:15:40Z",
    "title_canon_sha256": "5bb08acc5637b9a518e0fd94b002e7d4f1221b839650fd391746f4b5d85e1b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3269",
    "kind": "arxiv",
    "version": 1
  }
}