Pith Number

pith:LB6PZ2FM

pith:2026:LB6PZ2FMWNJSWGID7QGFD4GXA7

not attested not anchored not stored refs pending

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction

Arne Thomsen, David Mirkovic, Tilman Tr\"oster, Veronika Oehl

arxiv:2605.21483 v1 · 2026-05-20 · astro-ph.CO · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LB6PZ2FMWNJSWGID7QGFD4GXA7}

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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	2026-05-21T02:05:39.444169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

587cfce8acb3532b1903fc0c51f0d707cbd15b1bc447d6143d059561cc7cac92

Aliases

arxiv: 2605.21483 · arxiv_version: 2605.21483v1 · doi: 10.48550/arxiv.2605.21483 · pith_short_12: LB6PZ2FMWNJS · pith_short_16: LB6PZ2FMWNJSWGID · pith_short_8: LB6PZ2FM

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/LB6PZ2FMWNJSWGID7QGFD4GXA7 \
  | 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: 587cfce8acb3532b1903fc0c51f0d707cbd15b1bc447d6143d059561cc7cac92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef49cafe63b84b9c9dbfd77fee76d504653a10266b72d29cbe17f5380e4c00e0",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-20T17:59:05Z",
    "title_canon_sha256": "72866acb147a9bdb4207370c89159b7df9c4b25827df8a95ecea572b63b7e4a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21483",
    "kind": "arxiv",
    "version": 1
  }
}