pith. sign in
Pith Number

pith:W4ZIVUQC

pith:2011:W4ZIVUQCTDAPZY74OSRBL2FJED
not attested not anchored not stored refs pending

Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Appraoch

Christian Bourdarias (LAMA), Mehmet Ersoy (IMATH), St\'ephane Gerbi (LAMA)

arxiv:1107.1330 v2 · 2011-07-07 · math.AP · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{W4ZIVUQCTDAPZY74OSRBL2FJED}

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 2026-05-18T03:12:22.813218Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b7328ad20298c0fce3fc74a215e8a920c63d232575aae08cd441551746d02158

Aliases

arxiv: 1107.1330 · arxiv_version: 1107.1330v2 · doi: 10.48550/arxiv.1107.1330 · pith_short_12: W4ZIVUQCTDAP · pith_short_16: W4ZIVUQCTDAPZY74 · pith_short_8: W4ZIVUQC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/W4ZIVUQCTDAPZY74OSRBL2FJED \
  | 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: b7328ad20298c0fce3fc74a215e8a920c63d232575aae08cd441551746d02158
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8a62547a7ecc1b93115a9fff6170f4ad8e7a7981c5e9ba2ad3f5f7973ba634cb",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-07T09:43:32Z",
    "title_canon_sha256": "af1f2d263624330dc238f15398a7aa49a5277220d22746e3f0789daa0fa8f791"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1330",
    "kind": "arxiv",
    "version": 2
  }
}