Pith. sign in
Pith Number

pith:65KLFVIN

pith:2005:65KLFVINTJ6U4RDQU6KAB7OO4D
not attested not anchored not stored refs pending

Primitive Variable Solvers for Conservative General Relativistic Magnetohydrodynamics

Charles F. Gammie, Jonathan C. McKinney, Luca Del Zanna, Scott C. Noble

arxiv:astro-ph/0512420 v1 · 2005-12-15 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{65KLFVINTJ6U4RDQU6KAB7OO4D}

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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 2026-07-04T17:14:44.636201Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f754b2d50d9a7d4e4470a79400fdcee0e45dee55f82c7867823735295b588b81

Aliases

arxiv: astro-ph/0512420 · arxiv_version: astro-ph/0512420v1 · doi: 10.48550/arxiv.astro-ph/0512420 · pith_short_12: 65KLFVINTJ6U · pith_short_16: 65KLFVINTJ6U4RDQ · pith_short_8: 65KLFVIN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/65KLFVINTJ6U4RDQU6KAB7OO4D \
  | 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: f754b2d50d9a7d4e4470a79400fdcee0e45dee55f82c7867823735295b588b81
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fab0dc851fb1fb1911260e2cf4988e69fe205afdeb7b66fd8598a91a603ae827",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-12-15T22:52:33Z",
    "title_canon_sha256": "0c9d1f9218bf8ab3352cc38fc4c0eb6e8775c68d84442297aa5a5cba0aa48ac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0512420",
    "kind": "arxiv",
    "version": 1
  }
}