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Pith Number

pith:I5I4Q76H

pith:2009:I5I4Q76HO5U2HNVX3UCONC4FQP
not attested not anchored not stored refs pending

Soliton solution of the osmosis K(2, 2) equation

Jiangbo Zhou, Lixin Tian

arxiv:0907.5522 v1 · 2009-07-31 · nlin.PS · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{I5I4Q76HO5U2HNVX3UCONC4FQP}

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 2026-05-18T02:12:45.748342Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4751c87fc77769a3b6b7dd04e68b8583d5acd14f5055dbac0110a51b5b0a1d97

Aliases

arxiv: 0907.5522 · arxiv_version: 0907.5522v1 · doi: 10.48550/arxiv.0907.5522 · pith_short_12: I5I4Q76HO5U2 · pith_short_16: I5I4Q76HO5U2HNVX · pith_short_8: I5I4Q76H
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/I5I4Q76HO5U2HNVX3UCONC4FQP \
  | 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: 4751c87fc77769a3b6b7dd04e68b8583d5acd14f5055dbac0110a51b5b0a1d97
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e6502faad260103203f252dd978a8f72b6d7da55db2852e4c429ce7d55bdacfa",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2009-07-31T12:24:57Z",
    "title_canon_sha256": "de9d79c81e2edc8c989368e3172a137c5b1578b8ba8daca60fc94a308a5789fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5522",
    "kind": "arxiv",
    "version": 1
  }
}