pith. sign in
Pith Number

pith:32XJC6EL

pith:2010:32XJC6EL4CSLSFM3EU76U4EGRI
not attested not anchored not stored refs pending

From extended phase space dynamics to fluid theory

Gert Brodin, Jens Zamanian, Martin Stefan, Mattias Marklund

arxiv:1006.4317 v2 · 2010-06-22 · physics.plasm-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{32XJC6EL4CSLSFM3EU76U4EGRI}

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 2026-05-18T04:37:33.000292Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

deae91788be0a4b9159b253fea70868a39e408f6743facf197315c2a1fc66287

Aliases

arxiv: 1006.4317 · arxiv_version: 1006.4317v2 · doi: 10.48550/arxiv.1006.4317 · pith_short_12: 32XJC6EL4CSL · pith_short_16: 32XJC6EL4CSLSFM3 · pith_short_8: 32XJC6EL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/32XJC6EL4CSLSFM3EU76U4EGRI \
  | 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: deae91788be0a4b9159b253fea70868a39e408f6743facf197315c2a1fc66287
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "62cd7881ffd29eb1783d41dc5f44c43f7314084d4d0cfaa338168cb00b355bd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2010-06-22T15:48:23Z",
    "title_canon_sha256": "8ec837e627b88de82cdeb9bbfd94c135b2794a0b425282449ed9454d9aa7395a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4317",
    "kind": "arxiv",
    "version": 2
  }
}