Pith Number

pith:PXUMHNOK

pith:2025:PXUMHNOKXMO4ENFZMBSB6BP5CK

not attested not anchored not stored refs pending

High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov

C\'ecile Huneau, Jonathan Luk

arxiv:2506.21779 v1 · 2025-06-26 · 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{PXUMHNOKXMO4ENFZMBSB6BP5CK}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T11:28:00.879379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7de8c3b5cabb1dc234b960641f05fd12a5dc9a2146130296928438074522fa72

Aliases

arxiv: 2506.21779 · arxiv_version: 2506.21779v1 · doi: 10.48550/arxiv.2506.21779 · pith_short_12: PXUMHNOKXMO4 · pith_short_16: PXUMHNOKXMO4ENFZ · pith_short_8: PXUMHNOK

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/PXUMHNOKXMO4ENFZMBSB6BP5CK \
  | 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: 7de8c3b5cabb1dc234b960641f05fd12a5dc9a2146130296928438074522fa72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a68dc8ff593e41c2f72ac534c00ab50f9ddcbfac7b53a899d08c18a84c7e517",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-26T21:24:24Z",
    "title_canon_sha256": "5e8e6b3927e2f61e30bc2d6c684ec8efc0a95c2dbd4c66ae72870f13ec28e0ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21779",
    "kind": "arxiv",
    "version": 1
  }
}