Pith. sign in
Pith Number

pith:DKW3XGR3

pith:2005:DKW3XGR3I2UVILLC2RHGQ2GWPS
not attested not anchored not stored refs pending

Astrophysical Gyrokinetics: Basic Equations and Linear Theory

Alexander A. Schekochihin, Eliot Quataert, Gregory G. Howes, Gregory W. Hammett, Steven C. Cowley, William Dorland

arxiv:astro-ph/0511812 v2 · 2005-11-30 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DKW3XGR3I2UVILLC2RHGQ2GWPS}

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 2026-07-04T15:19:37.289411Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1aadbb9a3b46a9542d62d44e6868d67c83939217f7627e87e30f1db42aa51f33

Aliases

arxiv: astro-ph/0511812 · arxiv_version: astro-ph/0511812v2 · doi: 10.48550/arxiv.astro-ph/0511812 · pith_short_12: DKW3XGR3I2UV · pith_short_16: DKW3XGR3I2UVILLC · pith_short_8: DKW3XGR3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DKW3XGR3I2UVILLC2RHGQ2GWPS \
  | 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: 1aadbb9a3b46a9542d62d44e6868d67c83939217f7627e87e30f1db42aa51f33
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f5856eea4a2db4877614179038e2af3a3ea2878969d850055a88e241f377c93f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-11-30T00:57:57Z",
    "title_canon_sha256": "c2c5117905470ed60cd865a61c4423c3af50ee035371d1f6abbcfc723fd3bb0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0511812",
    "kind": "arxiv",
    "version": 2
  }
}