Pith. sign in
Pith Number

pith:GCAUSP46

pith:2025:GCAUSP46AHC3KKDGMADSX2V3YR
not attested not anchored not stored refs pending

The Vlasov equation cannot fully account for collisionless shocks

Antoine Bret

arxiv:2506.01548 v1 · 2025-06-02 · physics.plasm-ph · astro-ph.HE · astro-ph.SR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GCAUSP46AHC3KKDGMADSX2V3YR}

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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 2026-07-05T11:14:15.518700Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3081493f9e01c5b5286660072beabbc478f2db1952a208b5b33bfca6975d2ee0

Aliases

arxiv: 2506.01548 · arxiv_version: 2506.01548v1 · doi: 10.48550/arxiv.2506.01548 · pith_short_12: GCAUSP46AHC3 · pith_short_16: GCAUSP46AHC3KKDG · pith_short_8: GCAUSP46
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GCAUSP46AHC3KKDGMADSX2V3YR \
  | 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: 3081493f9e01c5b5286660072beabbc478f2db1952a208b5b33bfca6975d2ee0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7372476bebb5a1e6967042f58e99cd29a4f619fd4670b6d5694af7824b0a226d",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "astro-ph.SR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2025-06-02T11:24:05Z",
    "title_canon_sha256": "4778936b005917c8149e46bcc1b4ad5703ad28ab1f383a68f6fef03652a24764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01548",
    "kind": "arxiv",
    "version": 1
  }
}