Pith Number

pith:PYY7OBDC

pith:2026:PYY7OBDC4CUXH4UYRNNKWBX2NR

not attested not anchored not stored refs pending

Stability and instability of torus-symmetric Einstein spacetimes with square-integrable connection

Bruno Le Floch, Philippe G. LeFloch

arxiv:2605.31585 v1 · 2026-05-29 · 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{PYY7OBDC4CUXH4UYRNNKWBX2NR}

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	2026-06-01T02:04:14.469725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e31f70462e0a973f2988b5aab06fa6c659ec1cbd0146e144b01c82fd9d3e16e

Aliases

arxiv: 2605.31585 · arxiv_version: 2605.31585v1 · doi: 10.48550/arxiv.2605.31585 · pith_short_12: PYY7OBDC4CUX · pith_short_16: PYY7OBDC4CUXH4UY · pith_short_8: PYY7OBDC

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/PYY7OBDC4CUXH4UYRNNKWBX2NR \
  | 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: 7e31f70462e0a973f2988b5aab06fa6c659ec1cbd0146e144b01c82fd9d3e16e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a61c83ad459f197bf14289f5743877adeaac8b754d227c101ffa99593c7d103",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-29T17:53:17Z",
    "title_canon_sha256": "08eef2ccb25a9e38d1be157e621746a618203d0df4e372fef95688d4c5fc2e0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31585",
    "kind": "arxiv",
    "version": 1
  }
}