pith. sign in
Pith Number

pith:HORNEKCP

pith:2007:HORNEKCP3KO5QGPOAOXK7IIOMU
not attested not anchored not stored refs pending

Matrix equations of hydrodynamic type as lower-dimensional reductions of Self-dual type $S$-integrable systems

A. I. Zenchuk

arxiv:0708.2050 v3 · 2007-08-15 · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HORNEKCP3KO5QGPOAOXK7IIOMU}

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 2026-05-18T04:09:14.900713Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3ba2d2284fda9dd819ee03aeafa10e65137283553f10035eae9c1d2907621fca

Aliases

arxiv: 0708.2050 · arxiv_version: 0708.2050v3 · doi: 10.48550/arxiv.0708.2050 · pith_short_12: HORNEKCP3KO5 · pith_short_16: HORNEKCP3KO5QGPO · pith_short_8: HORNEKCP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HORNEKCP3KO5QGPOAOXK7IIOMU \
  | 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: 3ba2d2284fda9dd819ee03aeafa10e65137283553f10035eae9c1d2907621fca
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f0788d3dbbf6316cabeac29e68d8df2b466f9a061c2e475606f972619e5936df",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2007-08-15T13:49:45Z",
    "title_canon_sha256": "456c070cf5f8e7bc25c494d33529dfc3a950273add5874e721a28c88371d3a94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2050",
    "kind": "arxiv",
    "version": 3
  }
}