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Pith Number

pith:NAQZ54L6

pith:2011:NAQZ54L6FWIBHZOFSHC3337ZFD
not attested not anchored not stored refs pending

A mathematical model for unsteady mixed flows in closed water pipes

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

arxiv:1106.2081 v1 · 2011-06-10 · math.AP · physics.flu-dyn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NAQZ54L6FWIBHZOFSHC3337ZFD}

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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 2026-05-18T03:37:05.804868Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

68219ef17e2d9013e5c591c5bdeff928d56ab48c432a8cf291e672f14a2ecd34

Aliases

arxiv: 1106.2081 · arxiv_version: 1106.2081v1 · doi: 10.48550/arxiv.1106.2081 · pith_short_12: NAQZ54L6FWIB · pith_short_16: NAQZ54L6FWIBHZOF · pith_short_8: NAQZ54L6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NAQZ54L6FWIBHZOFSHC3337ZFD \
  | 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: 68219ef17e2d9013e5c591c5bdeff928d56ab48c432a8cf291e672f14a2ecd34
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1f8f763c0b32263caa5971286faf5d6a4a83d4c7163b5a08ada198eb10c4b673",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-10T14:40:09Z",
    "title_canon_sha256": "6bff318c5ff7845438826d249fa1a577e7190e52cd8ba9da61d13cb5fed45ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2081",
    "kind": "arxiv",
    "version": 1
  }
}