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Pith Number

pith:P5AGG3KT

pith:2026:P5AGG3KTDD6YQDN5EP7TYW6IQK
not attested not anchored not stored refs pending

Rankine-Hugoniot conditions in Q-variables: a wave-aligned formulation of MHD discontinuities

Anna Krupka, Tijs Van Hoof, Tom Van Doorsselaere

arxiv:2606.21193 v1 · 2026-06-19 · physics.plasm-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P5AGG3KTDD6YQDN5EP7TYW6IQK}

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 2026-06-23T01:12:33.008843Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7f40636d5318fd880dbd23ff3c5bc8828aa757b39dfd632be9c3aa9d1bcbe02d

Aliases

arxiv: 2606.21193 · arxiv_version: 2606.21193v1 · doi: 10.48550/arxiv.2606.21193 · pith_short_12: P5AGG3KTDD6Y · pith_short_16: P5AGG3KTDD6YQDN5 · pith_short_8: P5AGG3KT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P5AGG3KTDD6YQDN5EP7TYW6IQK \
  | 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: 7f40636d5318fd880dbd23ff3c5bc8828aa757b39dfd632be9c3aa9d1bcbe02d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "60da11ebcfd722d6b546eb2ed89809982d8a46af05dd79e2eaca8f0fbd7f6f5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2026-06-19T08:04:31Z",
    "title_canon_sha256": "c916034e17fa526a9d2552dfb64dea86580b5c0282329906619c4dbbecf16b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21193",
    "kind": "arxiv",
    "version": 1
  }
}