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Pith Number

pith:DQXEJ4GJ

pith:2011:DQXEJ4GJFMZAZ56Y56LE7MOAR5
not attested not anchored not stored refs pending

Hydrodynamic models of self-organized dynamics: derivation and existence theory

Jian-Guo Liu, Pierre Degond (IMT), S\'ebastien Motsch, Vladislav Panferov

arxiv:1108.3160 v1 · 2011-08-16 · physics.flu-dyn · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DQXEJ4GJFMZAZ56Y56LE7MOAR5}

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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 2026-05-18T02:54:47.445441Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1c2e44f0c92b320cf7d8ef964fb1c08f4ede5405cb0897c5e15383346dedc2dc

Aliases

arxiv: 1108.3160 · arxiv_version: 1108.3160v1 · doi: 10.48550/arxiv.1108.3160 · pith_short_12: DQXEJ4GJFMZA · pith_short_16: DQXEJ4GJFMZAZ56Y · pith_short_8: DQXEJ4GJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DQXEJ4GJFMZAZ56Y56LE7MOAR5 \
  | 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: 1c2e44f0c92b320cf7d8ef964fb1c08f4ede5405cb0897c5e15383346dedc2dc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d532c63bd87f2600df71ba86a82b897560fb3964f21aa94a8caa2645290a1adc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-08-16T06:10:20Z",
    "title_canon_sha256": "4f43eedaa4f746fb027616de1c0ffda140962a6c4594a51a73bcca98302ce5ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3160",
    "kind": "arxiv",
    "version": 1
  }
}